@Article{deGiovanni2015,
author="de Giovanni, Francesco
and Trombetti, Marco",
title="A note on groups with many locally supersoluble subgroups",
journal="International Journal of Group Theory",
year="2015",
volume="4",
number="2",
pages="1-7",
abstract="It is proved here that if $G$ is a locally graded group satisfying the minimal condition on subgroups which are not locally supersoluble, then $G$ is either locally supersoluble or a Cernikov group. The same conclusion holds for locally finite groups satisfying the weak minimal condition on non-(locally supersoluble) subgroups. As a consequence, it is shown that any infinite locally graded group whose non-(locally supersoluble) subgroups lie into finitely many conjugacy classes must be locally supersoluble.",
issn="2251-7650",
doi="10.22108/ijgt.2015.9144",
url="http://ijgt.ui.ac.ir/article_9144.html"
}
@Article{Ceccherini-Silberstein2015,
author="Ceccherini-Silberstein, Tullio
and Coornaert, Michel",
title="On residually finite semigroups of cellullar automata",
journal="International Journal of Group Theory",
year="2015",
volume="4",
number="2",
pages="9-15",
abstract="We prove that if $M$ is a monoid and $A$ a finite set with more than one element, then the residual finiteness of $M$ is equivalent to that of the monoid consisting of all cellular automata over $M$ with alphabet $A$.",
issn="2251-7650",
doi="10.22108/ijgt.2015.9371",
url="http://ijgt.ui.ac.ir/article_9371.html"
}
@Article{Dardano2015,
author="Dardano, Ulderico
and Rinauro, Silvana",
title="On soluble groups whose subnormal subgroups are inert",
journal="International Journal of Group Theory",
year="2015",
volume="4",
number="2",
pages="17-24",
abstract="A subgroup H of a group G is called inert if, for each $g\in G$, the index of $H\cap H^g$ in $H$ is finite. We give a classification of soluble-by-finite groups $G$ in which subnormal subgroups are inert in the cases where $G$ has no nontrivial torsion normal subgroups or $G$ is finitely generated.",
issn="2251-7650",
doi="10.22108/ijgt.2015.9373",
url="http://ijgt.ui.ac.ir/article_9373.html"
}
@Article{McDonough2015,
author="McDonough, Thomas P.
and Pallikaros, Christos A.",
title="On double cosets with the trivial intersection property and Kazhdan-Lusztig cells in $S_n$",
journal="International Journal of Group Theory",
year="2015",
volume="4",
number="2",
pages="25-48",
abstract="For a composition $\lambda$ of $n$ our aim is to obtain reduced forms for all the elements in the $w_{J(\lambda)}$, the longest element of the standard parabolic subgroup of $S_n$ corresponding to $\lambda$. We investigate how far this is possible to achieve by looking at elements of the form $w_{J(\lambda)}d$, where $d$ is a prefix of an element of minimum length in a $(W_{J(\lambda)},B)$ double coset with the trivial intersection property, $B$ being a parabolic subgroup of $S_n$ whose type is `dual' to that of $W_{J(\lambda)}$.",
issn="2251-7650",
doi="10.22108/ijgt.2015.9795",
url="http://ijgt.ui.ac.ir/article_9795.html"
}
@Article{Crestani2015,
author="Crestani, Eleonora
and Lucchini, Andrea",
title="Bias of group generators in finite and profinite groups: known results and open problems",
journal="International Journal of Group Theory",
year="2015",
volume="4",
number="2",
pages="49-67",
abstract="We analyze some properties of the distribution $Q_{G,k}$ of the first component in a $k$-tuple chosen uniformly in the set of all the $k$-tuples generating a finite group $G$ (the limiting distribution of the product replacement algorithm). In particular, we concentrate our attention on the study of the variation distance $\beta_k(G)$ between $Q_{G,k}$ and the uniform distribution. We review some known results, analyze several examples and propose some intriguing open questions.",
issn="2251-7650",
doi="10.22108/ijgt.2015.9895",
url="http://ijgt.ui.ac.ir/article_9895.html"
}
@Article{Garonzi2015,
author="Garonzi, Martino",
title="Conjugate factorizations of finite groups",
journal="International Journal of Group Theory",
year="2015",
volume="4",
number="2",
pages="69-78",
abstract="In this paper we illustrate recent results about factorizations of finite groups into conjugate subgroups. The illustrated results are joint works with John Cannon, Dan Levy, Attila Mar\'oti and Iulian I. Simion.",
issn="2251-7650",
doi="10.22108/ijgt.2015.9931",
url="http://ijgt.ui.ac.ir/article_9931.html"
}