International Journal of Group Theory

Keyword Index

A

AC-group Maximal subsets of pairwise non-commuting elements of p-groups of order less than p⁶ [Volume 3, Issue 1, 2014, Pages 65-72]
AC-groups CH-groups which are finite $p$-groups [Volume 1, Issue 4, 2012, Pages 9-23]
Adding machine The $n$-ary adding machine and solvable groups [Volume 2, Issue 4, 2013, Pages 43-88]
Affine group Some remarks on regular subgroups of the affine group [Volume 1, Issue 1, 2012, Pages 17-23]
Algebra Unit group of algebra of circulant matrices [Volume 2, Issue 4, 2013, Pages 1-6]
Algebraically Closed Groups Existentially and $kappa$-existentially closed groups [Volume 12, Issue 1, 2023, Pages 45-54]
Algorithms on groups Enumerating word maps in finite groups [Volume 13, Issue 3, 2024, Pages 307-318]
Almost normality Infinite groups with many generalized normal subgroups [Volume 1, Issue 3, 2012, Pages 39-49]
Amenability constant A gap theorem for the ZL-amenability constant of a finite group [Volume 5, Issue 4, 2016, Pages 27-46]
Amit--Ashurst conjecture Enumerating word maps in finite groups [Volume 13, Issue 3, 2024, Pages 307-318]
A-perfect group On finite A-perfect abelian groups [Volume 1, Issue 3, 2012, Pages 11-14]
Arithmetic progression Groups whose same-order types are arithmetic progressions [(Articles in Press)]
Autocommutator subgroup On finite A-perfect abelian groups [Volume 1, Issue 3, 2012, Pages 11-14]
Automata The $n$-ary adding machine and solvable groups [Volume 2, Issue 4, 2013, Pages 43-88]
Automata group Catalan fragile words [Volume 9, Issue 2, 2020, Pages 69-80]
Automorphism On finite A-perfect abelian groups [Volume 1, Issue 3, 2012, Pages 11-14]
Automorphism Groups On the endomorphism semigroups of extra-special $p$-groups and automorphism orbits [Volume 11, Issue 4, 2022, Pages 201-220]
Automorphism Groups Existentially and $kappa$-existentially closed groups [Volume 12, Issue 1, 2023, Pages 45-54]

B

Baer theorem The theorems of Schur and Baer: a survey [Volume 4, Issue 1, 2015, Pages 21-32]
Bateman-Horn Conjecture Orders of simple groups and the Bateman--Horn Conjecture [Volume 13, Issue 3, 2024, Pages 257-269]
Bi-Cayley graph‎ Finite BCI-groups are solvable [Volume 5, Issue 2, 2016, Pages 1-6]
Boolean lattice A lattice theoretic characterization for the existence of a faithful irreducible representation [Volume 13, Issue 4, 2024, Pages 345-350]
Bootstrapping An overview of torus fully homomorphic encryption [Volume 14, Issue 2, 2025, Pages 59-73]
Boundary expansion A Cheeger-Buser-type inequality on CW complexes [Volume 12, Issue 3, 2023, Pages 197-204]
Brace Generalized nilpotent braces and nilpotent groups [Volume 14, Issue 1, 2025, Pages 25-45]

C

Capable group On varietal capability of Infinite direct products of groups [Volume 1, Issue 3, 2012, Pages 33-37]
Capable group On the groups satisfying the converse of Schur's theorem [Volume 1, Issue 4, 2012, Pages 1-7]
Catalan number Catalan fragile words [Volume 9, Issue 2, 2020, Pages 69-80]
Cayley graph Replacement and zig-zag products, Cayley graphs and Lamplighter random walk [Volume 2, Issue 1, 2013, Pages 11-35]
Cayley graph Normal edge-transitive and ½ -ARC-transitive cayley graphs on non-abelian groups of order 2pq, p > q are odd primes [Volume 5, Issue 3, 2016, Pages 1-8]
Cayley type transducers Fragile words and Cayley type transducers [Volume 7, Issue 3, 2018, Pages 95-109]
CD-admissible function A generalization of the Chermak--Delgado measure on subgroups and its associated lattice [Volume 14, Issue 2, 2025, Pages 75-91]
Centralizer Centralizers in simple locally finite groups [Volume 2, Issue 1, 2013, Pages 1-10]
Centralizer Homogenous finitary symmetric groups [Volume 4, Issue 1, 2015, Pages 7-12]
Centralizers A survey on groups with some restrictions on normalizers or centralizers [Volume 9, Issue 2, 2020, Pages 113-124]
Cheeger-Buser inequality A Cheeger-Buser-type inequality on CW complexes [Volume 12, Issue 3, 2023, Pages 197-204]
Chermak-Delgado lattice A generalization of the Chermak--Delgado measure on subgroups and its associated lattice [Volume 14, Issue 2, 2025, Pages 75-91]
Chevalley groups Gauss decomposition for Chevalley groups, revisited [Volume 1, Issue 1, 2012, Pages 3-16]
Chevalley groups Sandwich classification theorem [Volume 4, Issue 3, 2015, Pages 7-12]
Chief series Poset-blowdowns of generalized quaternion groups [Volume 13, Issue 2, 2024, Pages 133-160]
CIPQ Constructions and involutory properties in latin quandles [Volume 13, Issue 1, 2024, Pages 1-15]
Circulant determinant Remark on Laquer's theorem for circulant determinants [Volume 12, Issue 4, 2023, Pages 265-269]
Circulant Matrices Units in z₂(c₂ x d_∞) [Volume 1, Issue 4, 2012, Pages 33-41]
Circulant Matrices Unit group of algebra of circulant matrices [Volume 2, Issue 4, 2013, Pages 1-6]
Circulant Matrices The unit group of algebra of circulant matrices [Volume 3, Issue 4, 2014, Pages 13-16]
Classification Trilinear alternating forms and related CMLs and GECs [Volume 12, Issue 4, 2023, Pages 227-235]
Classification theorem for finite simple groups Quantitative characterization of finite simple groups: a complement [(Articles in Press)]
Clifford Theory Fischer matrices of Dempwolff group 2⁵GL(5,2) [Volume 1, Issue 4, 2012, Pages 43-63]
Clifford Theory On the representation theory of the alternating groups [Volume 2, Issue 1, 2013, Pages 187-198]
Clique number Nonnilpotent subsets in the Suzuki groups [Volume 6, Issue 2, 2017, Pages 7-15]
Coclass Non-inner automorphisms of order $p$ in finite $p$-groups of coclass $4$ and $5$ [Volume 13, Issue 1, 2024, Pages 97-114]
Cohomology of finite $p$-groups Orbits classifying extensions of prime power order groups [Volume 13, Issue 1, 2024, Pages 63-95]
Combinatorics On group rings and some of their applications to combinatorics and cryptography [Volume 4, Issue 4, 2015, Pages 61-74]
Communications Group rings for communications [Volume 4, Issue 4, 2015, Pages 1-23]
Commutative moufang loops Trilinear alternating forms and related CMLs and GECs [Volume 12, Issue 4, 2023, Pages 227-235]
Commutativity degree in finite groups On the commutativity degree in finite Moufang loops [Volume 5, Issue 3, 2016, Pages 37-47]
Complemented groups Influence of complemented subgroups on the structure of finite groups [Volume 10, Issue 2, 2021, Pages 65-74]
Complemented subgroups Influence of complemented subgroups on the structure of finite groups [Volume 10, Issue 2, 2021, Pages 65-74]
Complex characters Finite groups with non-trivial intersections of kernels of all but one irreducible characters [Volume 7, Issue 3, 2018, Pages 63-80]
Conjucagy classes On Neumann’s BFC-theorem and finite-by-nilpotent profinite groups [Volume 13, Issue 1, 2024, Pages 47-54]
Conjugacy classes Groups with reality and conjugacy conditions [Volume 1, Issue 2, 2012, Pages 25-38]
Conjugacy classes On the number of the irreducible characters of factor groups [Volume 2, Issue 2, 2013, Pages 19-24]
Conjugacy classes Conjugacy classes contained in normal subgroups: an overview [Volume 7, Issue 1, 2018, Pages 23-36]
Conjugacy classes On finite groups with square-free conjugacy class sizes [Volume 7, Issue 2, 2018, Pages 17-24]
Conjugacy classes On products of conjugacy classes in general linear groups [Volume 11, Issue 4, 2022, Pages 229-252]
Conjugacy classes Restrictions on sets of conjugacy class sizes in arithmetic progressions [Volume 12, Issue 1, 2023, Pages 27-34]
Conjugacy classes of non-normal subgroups Finite non-nilpotent groups with few non-normal non-cyclic subgroups [Volume 6, Issue 4, 2017, Pages 35-40]
Conjugacy separability Conjugacy separability of certain HNN extensions with normal associated subgroups [Volume 5, Issue 4, 2016, Pages 1-16]
Conway group On some projective triply-even binary codes invariant under the Conway group ${ m Co}_1$ [Volume 11, Issue 1, 2022, Pages 23-35]
Covering Conjectures on the normal covering number of the finite symmetric and alternating groups [Volume 3, Issue 2, 2014, Pages 57-75]
Covering number Finite coverings of semigroups and related structures [Volume 12, Issue 3, 2023, Pages 205-222]
Covers Covering monolithic groups with proper subgroups [Volume 2, Issue 1, 2013, Pages 131-144]
Crossed product The prolongation of central extensions [Volume 1, Issue 2, 2012, Pages 39-49]
Cryptography Group rings for communications [Volume 4, Issue 4, 2015, Pages 1-23]
C-tidy groups A note on finite C-tidy groups [Volume 2, Issue 3, 2013, Pages 9-17]
C-tidy groups On finite C-tidy groups [Volume 2, Issue 4, 2013, Pages 39-41]
CW complexes A Cheeger-Buser-type inequality on CW complexes [Volume 12, Issue 3, 2023, Pages 197-204]
Cyclic subgroup Groups having $11$ cyclic subgroups [Volume 13, Issue 2, 2024, Pages 203-214]

D

Dedekind group Groups having $11$ cyclic subgroups [Volume 13, Issue 2, 2024, Pages 203-214]
Dedekind' s theorem Remark on Laquer's theorem for circulant determinants [Volume 12, Issue 4, 2023, Pages 265-269]
Dempwolff group Fischer matrices of Dempwolff group 2⁵GL(5,2) [Volume 1, Issue 4, 2012, Pages 43-63]
Derivation Some group-theoretical approaches to skew left braces [Volume 12, Issue 2, 2023, Pages 99-109]
Deviation Groups with the real chain condition on non-pronormal subgroups [Volume 14, Issue 1, 2025, Pages 9-18]
Dihedral groups The probability of commuting subgroups in arbitrary lattices of subgroups [Volume 10, Issue 3, 2021, Pages 125-135]
Direct product On varietal capability of Infinite direct products of groups [Volume 1, Issue 3, 2012, Pages 33-37]
Divisible group Splitting of extensions in the category of locally compact abelian groups [Volume 3, Issue 3, 2014, Pages 39-45]
Double chains On groups satisfying the double chain condition on nonascendant subgroups [Volume 14, Issue 1, 2025, Pages 1-7]

E

Efficient presentations All simple groups with order from 1 million to 5 million are efficient [Volume 3, Issue 1, 2014, Pages 17-30]
Elementary abelian $p$-groups The probability of commuting subgroups in arbitrary lattices of subgroups [Volume 10, Issue 3, 2021, Pages 125-135]
Elementary subgroup Gow-Tamburini type generation of the special linear group for some special rings. [Volume 13, Issue 2, 2024, Pages 123-132]
Element order A new characterization of PSL(2, 25) [Volume 1, Issue 3, 2012, Pages 15-19]
Element order Quasirecognition by prime graph of U₃(q) where 2 < q = p^α < 100 [Volume 1, Issue 3, 2012, Pages 51-66]
Element order Finite groups of the same type as Suzuki groups [Volume 8, Issue 1, 2019, Pages 35-42]
Element order Characterization of the Chevalley group $G_{2}(5)$ by the set of numbers of the same order elements [Volume 11, Issue 1, 2022, Pages 7-16]
Element order‎ A new characterization of ree group²g₂ (Q) by the order of group and the number of elements with the same order [Volume 6, Issue 4, 2017, Pages 1-6]
Elliptic curves A survey on the group of points arising from elliptic curves with a Weierstrass model over a ring [Volume 12, Issue 3, 2023, Pages 177-196]
Endomorphism Semigroups On the endomorphism semigroups of extra-special $p$-groups and automorphism orbits [Volume 11, Issue 4, 2022, Pages 201-220]
Engel Open problems from the conference ‎"Engel Conditions in Groups‎" ‎held in Bath‎, ‎UK‎, ‎2019 [Volume 9, Issue 4, 2020, Pages 301-303]
Engel condition On Fitting groups whose proper subgroups are solvable [Volume 5, Issue 2, 2016, Pages 7-24]
Engel element Some remarks on unipotent automorphisms [Volume 9, Issue 4, 2020, Pages 293-300]
Engel elements On the right n-Engel group elements [Volume 1, Issue 1, 2012, Pages 47-51]
Engel elements of a group On some subgroups associated with the tensor square of a group [Volume 2, Issue 2, 2013, Pages 25-33]
Engel group Engel groups in bath - ten years later [Volume 9, Issue 4, 2020, Pages 251-260]
Engel group On infinite anticommutative groups [Volume 12, Issue 1, 2023, Pages 21-26]
Engel group On numbers which are orders of nilpotent groups with bounded class [Volume 14, Issue 2, 2025, Pages 93-97]
Enumerating algebras Enumerating algebras over a finite field [Volume 2, Issue 3, 2013, Pages 49-61]
Enumerating p-groups On Graham Higman's famous PORC paper [Volume 1, Issue 4, 2012, Pages 65-79]
Enumerating p-groups Enumerating algebras over a finite field [Volume 2, Issue 3, 2013, Pages 49-61]
Equations in group On embedding of partially commutative metabelian groups to matrix groups [Volume 7, Issue 4, 2018, Pages 17-26]
Exact spread The exact spread of M₂₃ IS 8064 [Volume 1, Issue 1, 2012, Pages 1-2]
Existentially closed groups Existentially and $kappa$-existentially closed groups [Volume 12, Issue 1, 2023, Pages 45-54]
Expander graph Replacement and zig-zag products, Cayley graphs and Lamplighter random walk [Volume 2, Issue 1, 2013, Pages 11-35]
Extra special p-group On the groups satisfying the converse of Schur's theorem [Volume 1, Issue 4, 2012, Pages 1-7]
Extra-special $p$-Groups On the endomorphism semigroups of extra-special $p$-groups and automorphism orbits [Volume 11, Issue 4, 2022, Pages 201-220]

F

Factoring abelian groups Certain finite abelian groups with the Redei $k$-property [Volume 2, Issue 2, 2013, Pages 41-45]
Factorised groups On finite groups with square-free conjugacy class sizes [Volume 7, Issue 2, 2018, Pages 17-24]
Factorization Finite simple groups which are the products of symmetric or alternating groups with L₃(4) [Volume 5, Issue 1, 2016, Pages 11-16]
Factorization number‎ Factorization numbers of finite abelian groups [Volume 2, Issue 2, 2013, Pages 1-8]
FC-groups Groups with reality and conjugacy conditions [Volume 1, Issue 2, 2012, Pages 25-38]
FC-groups On Neumann’s BFC-theorem and finite-by-nilpotent profinite groups [Volume 13, Issue 1, 2024, Pages 47-54]
Finitary symmetric groups Homogenous finitary symmetric groups [Volume 4, Issue 1, 2015, Pages 7-12]
Finite Group actions related to non-vanishing elements [Volume 3, Issue 2, 2014, Pages 41-51]
Finite abelian group On finite A-perfect abelian groups [Volume 1, Issue 3, 2012, Pages 11-14]
Finite group Character expansiveness in finite groups [Volume 2, Issue 2, 2013, Pages 9-17]
Finite group On supersolvability of finite groups with ℙ-subnormal subgroups [Volume 2, Issue 4, 2013, Pages 21-29]
Finite group Rational subsets of finite groups [Volume 3, Issue 2, 2014, Pages 53-55]
Finite group The coprime graph of a group [Volume 3, Issue 3, 2014, Pages 13-23]
Finite group On metacyclic subgroups of finite groups [Volume 7, Issue 2, 2018, Pages 25-29]
Finite group Finite groups with seminormal or abnormal Sylow subgroups [Volume 9, Issue 3, 2020, Pages 139-142]
Finite group Recognition of Janko groups and some simple $K_4$-groups by the order and one irreducible character degree or character degree graph [Volume 10, Issue 1, 2021, Pages 1-10]
Finite group Integral forms in vertex operator algebras, a survey [Volume 9, Issue 2, 2020, Pages 133-138]
Finite group Quantitative characterization of finite simple groups: a complement [(Articles in Press)]
Finite groups Finite simple groups with number of zeros slightly greater than the number of nonlinear irreducible characters [Volume 1, Issue 4, 2012, Pages 25-32]
Finite groups Characterization of A₅ and PSL(2, 7) by sum of element orders [Volume 2, Issue 2, 2013, Pages 35-39]
Finite groups Characterization of the symmetric group by its non-commuting graph [Volume 2, Issue 2, 2013, Pages 47-72]
Finite groups A note on finite C-tidy groups [Volume 2, Issue 3, 2013, Pages 9-17]
Finite groups On finite C-tidy groups [Volume 2, Issue 4, 2013, Pages 39-41]
Finite groups On the total character of finite groups [Volume 3, Issue 3, 2014, Pages 47-67]
Finite groups Restrictions on commutativity ratios in finite groups [Volume 3, Issue 4, 2014, Pages 1-12]
Finite groups On zero patterns of characters of finite groups [Volume 3, Issue 4, 2014, Pages 27-31]
Finite groups One-prime power hypothesis for conjugacy class sizes [Volume 6, Issue 3, 2017, Pages 13-19]
Finite groups On finite groups with square-free conjugacy class sizes [Volume 7, Issue 2, 2018, Pages 17-24]
Finite groups On finite groups having a certain number of cyclic subgroups [Volume 8, Issue 3, 2019, Pages 1-8]
Finite groups Influence of complemented subgroups on the structure of finite groups [Volume 10, Issue 2, 2021, Pages 65-74]
Finite groups Parameters of the coprime graph of a group [Volume 10, Issue 3, 2021, Pages 137-147]
Finite Moufang loops On the commutativity degree in finite Moufang loops [Volume 5, Issue 3, 2016, Pages 37-47]
Finite-$p$-groups CH-groups which are finite $p$-groups [Volume 1, Issue 4, 2012, Pages 9-23]
Finite simple groups Finite simple groups of low rank: Hurwitz generation and (2, 3)-generation [Volume 4, Issue 3, 2015, Pages 13-19]
Finite simple $K_4$-group Characterization of some simple k₄-groups by some irreducible complex character degrees [Volume 5, Issue 2, 2016, Pages 61-74]
Fischer-Clifford matrices The Fischer-Clifford matrices of an extension group of the form 2⁷:(2⁷:S₆) [Volume 3, Issue 2, 2014, Pages 21-39]
Fischer matrices Fischer matrices of Dempwolff group 2⁵GL(5,2) [Volume 1, Issue 4, 2012, Pages 43-63]
Fischer matrices The Fischer-Clifford matrices of the inertia group 2⁷:O^- ₆ (2) of a maximal subgroup 2⁷:Sp₆(2) in sp₈(2) [Volume 2, Issue 3, 2013, Pages 19-38]
Fischer matrices On a group of the form 3⁷:Sp(6,2) [Volume 5, Issue 2, 2016, Pages 41-59]
Fitting Group actions related to non-vanishing elements [Volume 3, Issue 2, 2014, Pages 41-51]
Fitting group On Fitting groups whose proper subgroups are solvable [Volume 5, Issue 2, 2016, Pages 7-24]
Fitting subgroup On groups with specified quotient power graphs [Volume 5, Issue 3, 2016, Pages 49-60]
Formation Partially $S$-embedded minimal subgroups of finite groups [Volume 2, Issue 4, 2013, Pages 7-16]
Fragile word Catalan fragile words [Volume 9, Issue 2, 2020, Pages 69-80]
Fragile words Fragile words and Cayley type transducers [Volume 7, Issue 3, 2018, Pages 95-109]
Frattini extension Omissible extensions of SL₂(k) where k is a field of positive characteristic [Volume 2, Issue 1, 2013, Pages 145-155]
Frattini subgroup Poset-blowdowns of generalized quaternion groups [Volume 13, Issue 2, 2024, Pages 133-160]
Free Lie algebra On the dimension of the product $[L_2,L_2,L_1]$‎ in free Lie algebras [Volume 7, Issue 2, 2018, Pages 45-50]
Freiheitssatz On Magnus' Freiheitssatz and free polynomial algebras [Volume 4, Issue 1, 2015, Pages 13-19]
Frobenius groups On the number of the irreducible characters of factor groups [Volume 2, Issue 2, 2013, Pages 19-24]
Full binary tree Catalan fragile words [Volume 9, Issue 2, 2020, Pages 69-80]

G

Galois correspondence Computing character degrees via a Galois connection [Volume 4, Issue 1, 2015, Pages 1-6]
Galois group Computing Galois groups [Volume 13, Issue 3, 2024, Pages 241-250]
Galois groups On finite arithmetic groups [Volume 2, Issue 1, 2013, Pages 199-227]
Gauss decomposition Gauss decomposition for Chevalley groups, revisited [Volume 1, Issue 1, 2012, Pages 3-16]
Gelfand pair Gelfand pairs associated with the action of graph automaton groups [Volume 12, Issue 2, 2023, Pages 55-66]
Generalized elliptic curves Trilinear alternating forms and related CMLs and GECs [Volume 12, Issue 4, 2023, Pages 227-235]
Generations The conjugacy class ranks of $M_{24}$ [Volume 6, Issue 4, 2017, Pages 53-58]
Graham Higman On Graham Higman's famous PORC paper [Volume 1, Issue 4, 2012, Pages 65-79]
Graph automaton group Gelfand pairs associated with the action of graph automaton groups [Volume 12, Issue 2, 2023, Pages 55-66]
Graphs associated to groups Nonnilpotent subsets in the Suzuki groups [Volume 6, Issue 2, 2017, Pages 7-15]
Grassmann algebra Cocharacters of upper triangular matrices [Volume 2, Issue 1, 2013, Pages 49-77]
Group Characters On the total character of finite groups [Volume 3, Issue 3, 2014, Pages 47-67]
Group extensions Fischer matrices of Dempwolff group 2⁵GL(5,2) [Volume 1, Issue 4, 2012, Pages 43-63]
Group extensions A note on the affine subgroup of the symplectic group [Volume 5, Issue 1, 2016, Pages 37-51]
Group extensions On a group of the form 3⁷:Sp(6,2) [Volume 5, Issue 2, 2016, Pages 41-59]
Group extensions Orbits classifying extensions of prime power order groups [Volume 13, Issue 1, 2024, Pages 63-95]
Group of infinite rank Groups with permutability conditions for subgroups of infinite rank [Volume 7, Issue 3, 2018, Pages 7-16]
Group orders Quantitative characterization of finite simple groups: a complement [(Articles in Press)]
Group rings Sylow like theorems for V (ℤG) [Volume 4, Issue 4, 2015, Pages 49-59]
Group rings Group rings for communications [Volume 4, Issue 4, 2015, Pages 1-23]
Group rings On group rings and some of their applications to combinatorics and cryptography [Volume 4, Issue 4, 2015, Pages 61-74]
Groups Group actions related to non-vanishing elements [Volume 3, Issue 2, 2014, Pages 41-51]
Groups acting on rooted trees Ramification structures for quotients of multi-EGS groups [Volume 12, Issue 4, 2023, Pages 237-252]
Groups of exponent $5$ Schur's exponent conjecture - counterexamples of exponent $5$ and exponent $9$ [Volume 10, Issue 4, 2021, Pages 167-173]
Groups of exponent $p$ Groups of order p⁸ and exponent p [Volume 4, Issue 4, 2015, Pages 25-42]
Groups of order $p^8$ Groups of order p⁸ and exponent p [Volume 4, Issue 4, 2015, Pages 25-42]

H

Hajos $k$-property Certain finite abelian groups with the Redei $k$-property [Volume 2, Issue 2, 2013, Pages 41-45]
Hasse diagram Poset-blowdowns of generalized quaternion groups [Volume 13, Issue 2, 2024, Pages 133-160]
Hecke algebra On double cosets with the trivial intersection property and kazhdan-lusztig cells in S_n [Volume 4, Issue 2, 2015, Pages 25-48]
Heisenberg Groups On the endomorphism semigroups of extra-special $p$-groups and automorphism orbits [Volume 11, Issue 4, 2022, Pages 201-220]
Hilbert symbol On some integral representations of groups and global irreducibility [Volume 7, Issue 3, 2018, Pages 81-94]
HNN extensions Conjugacy separability of certain HNN extensions with normal associated subgroups [Volume 5, Issue 4, 2016, Pages 1-16]
Holomorph‎ Rational and quasi-permutation representations of holomorphs of cyclic $p$-groups [Volume 11, Issue 3, 2022, Pages 151-174]
Hopficity On residually finite semigroups of cellullar automata [Volume 4, Issue 2, 2015, Pages 9-15]
Huppert's Conjecture On Huppert's conjecture for F₄(2) [Volume 1, Issue 3, 2012, Pages 1-9]
Hurwitz generation Finite simple groups of low rank: Hurwitz generation and (2, 3)-generation [Volume 4, Issue 3, 2015, Pages 13-19]
Hypercenter of a group Nonnilpotent subsets in the Suzuki groups [Volume 6, Issue 2, 2017, Pages 7-15]

I

Independence number Parameters of the coprime graph of a group [Volume 10, Issue 3, 2021, Pages 137-147]
Integer circulant determinant Remark on Laquer's theorem for circulant determinants [Volume 12, Issue 4, 2023, Pages 265-269]
Integer group determinant Remark on Laquer's theorem for circulant determinants [Volume 12, Issue 4, 2023, Pages 265-269]
Intersection of maximal subgroups and maximal dimension and finite solvable groups Irredundant families of maximal subgroups of finite solvable groups [Volume 12, Issue 3, 2023, Pages 163-176]
Inverse semigroups An example of a quasi-commutative inverse semigroup [Volume 13, Issue 1, 2024, Pages 115-122]
IPQ Constructions and involutory properties in latin quandles [Volume 13, Issue 1, 2024, Pages 1-15]
Irreducible characters Character expansiveness in finite groups [Volume 2, Issue 2, 2013, Pages 9-17]
Irreducible characters On the number of the irreducible characters of factor groups [Volume 2, Issue 2, 2013, Pages 19-24]
Irreducible complex character degree Characterization of some simple k₄-groups by some irreducible complex character degrees [Volume 5, Issue 2, 2016, Pages 61-74]

K

Kazhdan-Lusztig cell On double cosets with the trivial intersection property and kazhdan-lusztig cells in S_n [Volume 4, Issue 2, 2015, Pages 25-48]
Kazhdan-Lusztig cell Minimal determining sets for certain $W$-graph ideals [Volume 12, Issue 3, 2023, Pages 123-151]
Keywords and phrases: non-commuting graph Characterization of the symmetric group by its non-commuting graph [Volume 2, Issue 2, 2013, Pages 47-72]

L

Lamplighter random walk Replacement and zig-zag products, Cayley graphs and Lamplighter random walk [Volume 2, Issue 1, 2013, Pages 11-35]
Latin quandles Constructions and involutory properties in latin quandles [Volume 13, Issue 1, 2024, Pages 1-15]
Lie rings Second cohomology of Lie rings and the Schur multiplier [Volume 3, Issue 2, 2014, Pages 9-20]
LIPQ Constructions and involutory properties in latin quandles [Volume 13, Issue 1, 2024, Pages 1-15]
Locally compact abelian group Splitting of extensions in the category of locally compact abelian groups [Volume 3, Issue 3, 2014, Pages 39-45]
Locally finite simple groups Homogenous finitary symmetric groups [Volume 4, Issue 1, 2015, Pages 7-12]
Loop theory On the commutativity degree in finite Moufang loops [Volume 5, Issue 3, 2016, Pages 37-47]

M

Magnus representation On Magnus' Freiheitssatz and free polynomial algebras [Volume 4, Issue 1, 2015, Pages 13-19]
Mathieu groups The character table of a sharply $5$-transitive subgroup of the alternating group of degree 12 [Volume 10, Issue 1, 2021, Pages 11-30]
Metabeliah group On embedding of partially commutative metabelian groups to matrix groups [Volume 7, Issue 4, 2018, Pages 17-26]
Metahamiltonian group Metahamiltonian groups and related topics [Volume 2, Issue 1, 2013, Pages 117-129]
Minimal non-complemented groups Influence of complemented subgroups on the structure of finite groups [Volume 10, Issue 2, 2021, Pages 65-74]
Monolithic groups Covering monolithic groups with proper subgroups [Volume 2, Issue 1, 2013, Pages 131-144]
Multiplication group and inner mapping group of topological loops Topological loops with solvable multiplication groups of dimension at most six are centrally nilpotent [Volume 9, Issue 2, 2020, Pages 81-94]

N

Nilpotent groups On some groups whose subnormal subgroups are contranormal-free [Volume 14, Issue 2, 2025, Pages 99-115]
Nilpotentlizer Nonnilpotent subsets in the Suzuki groups [Volume 6, Issue 2, 2017, Pages 7-15]
Non-abelian simple group A note on finite groups with the indices of some maximal subgroups being primes [Volume 6, Issue 2, 2017, Pages 17-20]
Non-abelian tensor square On some subgroups associated with the tensor square of a group [Volume 2, Issue 2, 2013, Pages 25-33]
Non-abelian tensor square of groups Boundedly finite conjugacy classes of tensors [Volume 10, Issue 4, 2021, Pages 187-195]
Non-commuting graph On the relation between the non-commuting graph and the prime graph [Volume 1, Issue 1, 2012, Pages 25-28]
Noninner automorphism Noninner automorphisms of finite p-groups leaving the center elementwise fixed [Volume 2, Issue 4, 2013, Pages 17-20]
Non-inner automorphisms Non-inner automorphisms of order $p$ in finite $p$-groups of coclass $4$ and $5$ [Volume 13, Issue 1, 2024, Pages 97-114]
Non-Nilpotent Group Non-nilpotent groups with three conjugacy classes of non-normal subgroups [Volume 3, Issue 2, 2014, Pages 1-7]
Non-nilpotent groups Finite non-nilpotent groups with few non-normal non-cyclic subgroups [Volume 6, Issue 4, 2017, Pages 35-40]
Non-nilpotent groups Structure of finite groups with trait of non-normal subgroups II [Volume 13, Issue 2, 2024, Pages 173-188]
Non-Normal Subgroup Non-nilpotent groups with three conjugacy classes of non-normal subgroups [Volume 3, Issue 2, 2014, Pages 1-7]
Nonsolvable group ‎$‎4‎$‎-Regular prime graphs of nonsolvable groups [Volume 9, Issue 3, 2020, Pages 193-222]
Normal deviation On groups with many normal subgroups [Volume 14, Issue 1, 2025, Pages 19-23]
Normal Element Existence of rational primitive normal pairs over finite fields [Volume 13, Issue 1, 2024, Pages 17-30]
Normal subgroup On groups with many normal subgroups [Volume 14, Issue 1, 2025, Pages 19-23]
Numberfield Computing Galois groups [Volume 13, Issue 3, 2024, Pages 241-250]
Number of the same order elements Characterization of the Chevalley group $G_{2}(5)$ by the set of numbers of the same order elements [Volume 11, Issue 1, 2022, Pages 7-16]

O

Omissible subgroup Omissible extensions of SL₂(k) where k is a field of positive characteristic [Volume 2, Issue 1, 2013, Pages 145-155]

P

Pair of groups On the order of the Schur multiplier of a pair of finite p-groups II [Volume 2, Issue 3, 2013, Pages 1-8]
Pairwise non-commuting elements Maximal subsets of pairwise non-commuting elements of p-groups of order less than p⁶ [Volume 3, Issue 1, 2014, Pages 65-72]
Partially commutative group On embedding of partially commutative metabelian groups to matrix groups [Volume 7, Issue 4, 2018, Pages 17-26]
Period The Fibonacci-circulant sequences in the binary polyhedral groups [Volume 10, Issue 3, 2021, Pages 97-101]
Planner graph A note on the coprime graph of a group [Volume 5, Issue 4, 2016, Pages 17-22]
Polycyclic Refined solvable presentations for polycyclic groups [Volume 1, Issue 2, 2012, Pages 1-17]
Polycyclic-by-finite conjugacy classes Groups whose proper subgroups of infinite rank have polycyclic-by-finite conjugacy classes [Volume 5, Issue 3, 2016, Pages 61-67]
Polynomial On Residue Classes Enumerating algebras over a finite field [Volume 2, Issue 3, 2013, Pages 49-61]
PORC conjecture On Graham Higman's famous PORC paper [Volume 1, Issue 4, 2012, Pages 65-79]
PORC conjecture Groups of order p⁸ and exponent p [Volume 4, Issue 4, 2015, Pages 25-42]
Poset map Poset-blowdowns of generalized quaternion groups [Volume 13, Issue 2, 2024, Pages 133-160]
Power graph A note on the power graph of a finite group [Volume 5, Issue 1, 2016, Pages 1-10]
Power graph Generalized order divisor graphs of finite group [Volume 13, Issue 1, 2024, Pages 31-45]
Prime Graph Conjecture The prime graph conjecture for integral group rings of some alternating groups [Volume 2, Issue 1, 2013, Pages 175-185]
Prime graph, Maximal abelian subgroups, Maximal independent set of the graph On the relation between the non-commuting graph and the prime graph [Volume 1, Issue 1, 2012, Pages 25-28]
Primitive Element Existence of rational primitive normal pairs over finite fields [Volume 13, Issue 1, 2024, Pages 17-30]
Primitive groups Covering monolithic groups with proper subgroups [Volume 2, Issue 1, 2013, Pages 131-144]
Probabilistic zeta function A finiteness condition on the coefficients of the probabilistic zeta function [Volume 2, Issue 1, 2013, Pages 167-174]
Probability‎ On the probability of being a 2-Engel group [Volume 2, Issue 4, 2013, Pages 31-38]
Product replacement algorithm Bias of group generators in finite and profinite groups: known results and open problems [Volume 4, Issue 2, 2015, Pages 49-67]
Prüfer rank Groups whose proper subgroups of infinite rank have polycyclic-by-finite conjugacy classes [Volume 5, Issue 3, 2016, Pages 61-67]

Q

Quadratic extensions Gow-Tamburini type generation of the special linear group for some special rings. [Volume 13, Issue 2, 2024, Pages 123-132]
Quasi-commutative semigroups An example of a quasi-commutative inverse semigroup [Volume 13, Issue 1, 2024, Pages 115-122]
Quotient power graph On groups with specified quotient power graphs [Volume 5, Issue 3, 2016, Pages 49-60]

R

Rank The conjugacy class ranks of $M_{24}$ [Volume 6, Issue 4, 2017, Pages 53-58]
Redei $k$-property Certain finite abelian groups with the Redei $k$-property [Volume 2, Issue 2, 2013, Pages 41-45]
Regular subgroups Some remarks on regular subgroups of the affine group [Volume 1, Issue 1, 2012, Pages 17-23]
Replacement and zig-zag product Replacement and zig-zag products, Cayley graphs and Lamplighter random walk [Volume 2, Issue 1, 2013, Pages 11-35]
Representation Representations of group rings and groups [Volume 7, Issue 2, 2018, Pages 31-44]
Representations of finite groups Representation theory of skew braces [(Articles in Press)]
Residual properties Conjugacy separability of certain HNN extensions with normal associated subgroups [Volume 5, Issue 4, 2016, Pages 1-16]
Resolvent Computing Galois groups [Volume 13, Issue 3, 2024, Pages 241-250]
RIPQ Constructions and involutory properties in latin quandles [Volume 13, Issue 1, 2024, Pages 1-15]
Rooted regular tree Gelfand pairs associated with the action of graph automaton groups [Volume 12, Issue 2, 2023, Pages 55-66]

S

Same-order type Groups whose same-order types are arithmetic progressions [(Articles in Press)]
Saturated formation A study on the structure of finite groups with $c$-subnormal subgroups [Volume 13, Issue 4, 2024, Pages 329-344]
Schur multiplier Groups of order 2048 with three generators and three relations [Volume 1, Issue 1, 2012, Pages 29-37]
Schur multiplier Fischer matrices of Dempwolff group 2⁵GL(5,2) [Volume 1, Issue 4, 2012, Pages 43-63]
Schur multiplier On the order of the Schur multiplier of a pair of finite p-groups II [Volume 2, Issue 3, 2013, Pages 1-8]
Schur multiplier Characterization of some simple k₄-groups by some irreducible complex character degrees [Volume 5, Issue 2, 2016, Pages 61-74]
Schur multiplier Schur's exponent conjecture - counterexamples of exponent $5$ and exponent $9$ [Volume 10, Issue 4, 2021, Pages 167-173]
Schur multiplier of Lie rings Second cohomology of Lie rings and the Schur multiplier [Volume 3, Issue 2, 2014, Pages 9-20]
Schur’s exponent conjecture Schur's exponent conjecture - counterexamples of exponent $5$ and exponent $9$ [Volume 10, Issue 4, 2021, Pages 167-173]
Schur's theorem On the groups satisfying the converse of Schur's theorem [Volume 1, Issue 4, 2012, Pages 1-7]
Schur's theorem A note on fixed points of automorphisms of infinite groups [Volume 3, Issue 4, 2014, Pages 57-61]
Schur theorem The theorems of Schur and Baer: a survey [Volume 4, Issue 1, 2015, Pages 21-32]
Semidirect and wreath product Replacement and zig-zag products, Cayley graphs and Lamplighter random walk [Volume 2, Issue 1, 2013, Pages 11-35]
Skew left brace Some group-theoretical approaches to skew left braces [Volume 12, Issue 2, 2023, Pages 99-109]
Skew left brace Determination of the left braces of order $64$ [Volume 13, Issue 4, 2024, Pages 319-327]
Skew left braces On the structure of some left braces [Volume 14, Issue 2, 2025, Pages 47-58]
Small doubling Groups with numerical restrictions ‎on minimal generating sets [Volume 9, Issue 2, 2020, Pages 95-111]
Spherical function Gelfand pairs associated with the action of graph automaton groups [Volume 12, Issue 2, 2023, Pages 55-66]
Splitting of Extension Splitting of extensions in the category of locally compact abelian groups [Volume 3, Issue 3, 2014, Pages 39-45]
SS-embedded subgroup Finite groups with some $SS$-embedded subgroups [Volume 2, Issue 3, 2013, Pages 63-70]
Subgroup isomorphism problem Sylow like theorems for V (ℤG) [Volume 4, Issue 4, 2015, Pages 49-59]
Subgroup poset Poset-blowdowns of generalized quaternion groups [Volume 13, Issue 2, 2024, Pages 133-160]
Sublattices The probability of commuting subgroups in arbitrary lattices of subgroups [Volume 10, Issue 3, 2021, Pages 125-135]
Suzuki group Finite groups of the same type as Suzuki groups [Volume 8, Issue 1, 2019, Pages 35-42]
Sylow subgroup A new characterization of PSL(2, 25) [Volume 1, Issue 3, 2012, Pages 15-19]
Sylow subgroup A note on the Normalizer of sylow 2-subgroup of special linear group SL₂(p^f) [Volume 3, Issue 4, 2014, Pages 33-36]
Sylow subgroup Finite groups with seminormal or abnormal Sylow subgroups [Volume 9, Issue 3, 2020, Pages 139-142]
Sylow subgroup A study on the structure of finite groups with $c$-subnormal subgroups [Volume 13, Issue 4, 2024, Pages 329-344]
Sylow subgroups A note on transfer theorems [Volume 5, Issue 4, 2016, Pages 47-52]
Sylow subgroups On metacyclic subgroups of finite groups [Volume 7, Issue 2, 2018, Pages 25-29]
Sylow theorem Groups having $11$ cyclic subgroups [Volume 13, Issue 2, 2024, Pages 203-214]
Sylow tower group Finite groups with some $SS$-embedded subgroups [Volume 2, Issue 3, 2013, Pages 63-70]
Symmetric polynomials Symmetry classes of polynomials associated with the direct product of permutation groups [Volume 3, Issue 4, 2014, Pages 63-69]

T

TFHE An overview of torus fully homomorphic encryption [Volume 14, Issue 2, 2025, Pages 59-73]
The Fibonacci-circulant sequences The Fibonacci-circulant sequences in the binary polyhedral groups [Volume 10, Issue 3, 2021, Pages 97-101]
Thompson's problem Finite groups of the same type as Suzuki groups [Volume 8, Issue 1, 2019, Pages 35-42]
Thompson's problem Characterization of the Chevalley group $G_{2}(5)$ by the set of numbers of the same order elements [Volume 11, Issue 1, 2022, Pages 7-16]
Total Characters On the total character of finite groups [Volume 3, Issue 3, 2014, Pages 47-67]
Tree automorphisms The $n$-ary adding machine and solvable groups [Volume 2, Issue 4, 2013, Pages 43-88]
Trivectors Trilinear alternating forms and related CMLs and GECs [Volume 12, Issue 4, 2023, Pages 227-235]

U

Unit The probability of zero multiplication in finite group algebras [Volume 13, Issue 2, 2024, Pages 189-194]
Unitary Units Units in F_2kd_2n [Volume 3, Issue 3, 2014, Pages 25-34]
Unit Group Units in z₂(c₂ x d_∞) [Volume 1, Issue 4, 2012, Pages 33-41]
Unit Group Unit group of algebra of circulant matrices [Volume 2, Issue 4, 2013, Pages 1-6]
Unit Group Units in F_2kd_2n [Volume 3, Issue 3, 2014, Pages 25-34]
Unit Group The unit group of algebra of circulant matrices [Volume 3, Issue 4, 2014, Pages 13-16]
Upper triangular matrices Cocharacters of upper triangular matrices [Volume 2, Issue 1, 2013, Pages 49-77]

V

Variety of groups On varietal capability of Infinite direct products of groups [Volume 1, Issue 3, 2012, Pages 33-37]
V−capable group On varietal capability of Infinite direct products of groups [Volume 1, Issue 3, 2012, Pages 33-37]

W

Wedderburn decomposition The probability of zero multiplication in finite group algebras [Volume 13, Issue 2, 2024, Pages 189-194]
Word maps Enumerating word maps in finite groups [Volume 13, Issue 3, 2024, Pages 307-318]

Z

Zassenhaus Conjecture The prime graph conjecture for integral group rings of some alternating groups [Volume 2, Issue 1, 2013, Pages 175-185]
Zassenhaus Conjecture Torsion units for some projected special linear groups [Volume 6, Issue 1, 2017, Pages 37-53]