By Subject

Click subject name to see related articles.
05B Combinatorics: Designs and configurations
05B25 Finite geometries
05C Combinatorics: Graph theory
05C05 Trees 05C10 Planar graphs; geometric and topological aspects of graph theory 05C25 Graphs and abstract algebra (groups, rings, fields, etc.) 05C50 Graphs and linear algebra (matrices, eigenvalues, etc.) 05C60 Isomorphism problems (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) 05C76 Graph operations (line graphs, products, etc.) 05C81 Random walks on graphs
05E Combinatorics: Algebraic combinatorics
05E05 Symmetric functions and generalizations 05E15 Combinatorial aspects of groups and algebras
06A Order, lattices, ordered algebraic structures: Ordered sets
06A15 Galois correspondences, closure operators
11M Number theory: Zeta and L-functions: analytic theory
11M41 Other Dirichlet series and zeta functions
11P Number theory: Additive number theory; partitions
11P83 Partitions; congruences and congruential restrictions
11R Number theory: Algebraic number theory: global fields
11R33 Integral representations related to algebraic numbers; Galois module structure of rings of integers
14G Algebraic geometry: Arithmetic problems. Diophantine geometry
14G32 Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory)
15A Linear and multilinear algebra; matrix theory: Basic linear algebra
15A57 Other types of matrices (Hermitian, skew-Hermitian, etc.) 15A69 Multilinear algebra, tensor products
15B Linear and multilinear algebra; matrix theory: Special matrices
15B99 None of the above, but in this section
16A Associative rings and algebras: Associative rings and algebras
16A27 Group rings of infinite groups
16R Associative rings and algebras: Rings with polynomial identity
16R10 T-ideals, identities, varieties of rings and algebras
16S Associative rings and algebras: Rings and algebras arising under various constructions
16S34 Group rings, Laurent polynomial rings
16U Associative rings and algebras: Conditions on elements
16U60 Units, groups of units
17A Nonassociative rings and algebras: General nonassociative rings
17A01 General theory
17B Nonassociative rings and algebras: Lie algebras and Lie superalgebras
17B30 Solvable, nilpotent (super)algebras 17B56 Cohomology of Lie (super)algebras
20A Group theory and generalizations: Foundations
20A15 Applications of logic to group theory 20A99 None of the above, but in this section
20B Group theory and generalizations: Permutation groups
20B05 General theory for finite groups 20B07 General theory for infinite groups 20B10 Characterization theorems 20B15 Primitive groups 20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures 20B27 Infinite automorphism groups 20B30 Symmetric groups 20B35 Subgroups of symmetric groups
20C Group theory and generalizations: Representation theory of groups
20C05 Group rings of finite groups and their modules 20C07 Group rings of infinite groups and their modules 20C08 Hecke algebras and their representations 20C10 Integral representations of finite groups 20C15 Ordinary representations and characters 20C30 Representations of finite symmetric groups 20C40 Computational methods 20C99 None of the above, but in this section
20D Group theory and generalizations: Abstract finite groups
20D05 Finite simple groups and their classification 20D06 Simple groups: alternating groups and groups of Lie type 20D08 Simple groups: sporadic groups 20D10 Solvable groups, theory of formations, Schunck classes, Fitting classes, π-length, ranks 20D15 Nilpotent groups, p-groups 20D20 Sylow subgroups, Sylow properties, π-groups, π-structure 20D25 Special subgroups (Frattini, Fitting, etc.) 20D30 Series and lattices of subgroups 20D40 Products of subgroups 20D45 Automorphisms 20D50 Covering of subgroups 20D60 Arithmetic and combinatorial problems 20D99 None of the above, but in this section
20E Group theory and generalizations: Structure and classification of infinite or finite groups
20E06 Free products, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations 20E07 Subgroup theorems; subgroup growth 20E08 Groups acting on trees 20E10 Quasivarieties and varieties of groups 20E15 Chains and lattices of subgroups, subnormal subgroups 20E18 Limits, profinite groups 20E22 Extensions, wreath products, and other compositions 20E25 Local properties 20E26 Residual properties and generalizations; residually finite groups 20E32 Simple groups 20E34 General structure theorems 20E36 Automorphisms of infinite groups 20E45 Conjugacy classes 20E99 None of the above, but in this section
20F Group theory and generalizations: Special aspects of infinite or finite groups
20F05 Generators, relations, and presentations 20F10 Word problems, other decision problems, connections with logic and automata 20F12 Commutator calculus 20F14 Derived series, central series, and generalizations 20F15 Structure theorems 20F16 Solvable groups, supersolvable groups 20F17 Formations of groups, Fitting classes 20F18 Nilpotent groups 20F19 Generalizations of solvable and nilpotent groups 20F20 Limits, profinite groups 20F22 Other classes of groups defined by subgroup chains 20F24 FC-groups and their generalizations 20F28 Automorphism groups of groups 20F29 Representations of groups as automorphism groups of algebraic systems 20F36 Braid groups; Artin groups 20F40 Associated Lie structures 20F45 Engel conditions 20F50 Periodic groups; locally finite groups 20F55 Reflection and Coxeter groups 20F65 Geometric group theory 20F67 Hyperbolic groups and nonpositively curved groups 20F69 Asymptotic properties of groups 20F70 Algebraic geometry over groups; equations over groups 20F99 None of the above, but in this section
20G Group theory and generalizations: Linear algebraic groups and related topics
20G05 Representation theory 20G15 Linear algebraic groups over arbitrary fields 20G25 Linear algebraic groups over local fields and their integers 20G35 Linear algebraic groups over adèles and other rings and schemes 20G40 Linear algebraic groups over finite fields
20 Group theory and generalizations
20-04 Explicit machine computation and programs
20H Group theory and generalizations: Other groups of matrices
20H20 Other matrix groups over fields 20H25 Other matrix groups over rings
20J Group theory and generalizations: Connections with homological algebra and category theory
20J05 Homological methods in group theory 20J06 Cohomology of groups 20J15 Category of groups
20K Group theory and generalizations: Abelian groups
20K01 Finite abelian groups 20K25 Direct sums, direct products, etc. 20K27 Subgroups 20K30 Automorphisms, homomorphisms, endomorphisms, etc. 20K35 Extensions
20M Group theory and generalizations: Semigroups
20M30 Representation of semigroups; actions of semigroups on sets
20N Group theory and generalizations: Other generalizations of groups
20N05 Loops, quasigroups
20P Group theory and generalizations: Probabilistic methods in group theory
20P05 Probabilistic methods in group theory
22B Topological groups, Lie groups: Locally compact abelian groups (LCA groups)
22B05 General properties and structure of LCA groups
37A Dynamical systems and ergodic theory: Ergodic theory
37A30 Ergodic theorems, spectral theory, Markov operators
37B Dynamical systems and ergodic theory: Topological dynamics
37B10 Symbolic dynamics 37B15 Cellular automata
43A Abstract harmonic analysis: Abstract harmonic analysis
43A20 L^1-algebras on groups, semigroups, etc. 43A62 Hypergroups 43A85 Analysis on homogeneous spaces
60J Probability theory and stochastic processes: Markov processes
60J10 Markov chains
68Q Computer science: Theory of computing
68Q80 Cellular automat
94A Information and communication, circuits: Communication, information
94A12 Signal theory (characterization, reconstruction, filtering, etc.)
94B Information and communication, circuits: Theory of error-correcting codes and error-detecting codes
94B60 Other types of codes