On one-relator soluble groups.
On orbits of automorphism groups.
On outer automorphisms of Černikov -groups
On overgroups of and in their minimal representations.
On -groups with generally finite element.
On pairs of 2-complexes and systems of equations over groups.
On Parabolic Subgroups and Hecke Algebras of some Fractal Groups
* The authors thank the “Swiss National Science Foundation” for its support.We study the subgroup structure, Hecke algebras, quasi-regular representations, and asymptotic properties of some fractal groups of branch type. We introduce parabolic subgroups, show that they are weakly maximal, and that the corresponding quasi-regular representations are irreducible. These (infinite-dimensional) representations are approximated by finite-dimensional quasi-regular representations. The Hecke algebras...
On periodic groups with small orders of elements.
On products of soluble groups of finite rank.
On prosolvable subgroups of profinite free products and some applications.
On radical classes of Abelian linearly ordered groups
On regular automorphisms of order 3 and Frobenius pairs.
On residually finite groups and their generalizations
The paper is concerned with the class of groups satisfying the finite embedding (FE) property. This is a generalization of residually finite groups. In [2] it was asked whether there exist FE-groups which are not residually finite. Here we present such examples. To do this, we construct a family of three-generator soluble FE-groups with torsion-free abelian factors. We study necessary and sufficient conditions for groups from this class to be residually finite. This answers the questions asked in...
On -quasinormal and -normal subgroups of a finite group
Let be a saturated formation containing the class of supersolvable groups and let be a finite group. The following theorems are presented: (1) if and only if there is a normal subgroup such that and every maximal subgroup of all Sylow subgroups of is either -normal or -quasinormally embedded in . (2) if and only if there is a normal subgroup such that and every maximal subgroup of all Sylow subgroups of , the generalized Fitting subgroup of , is either -normal or -quasinormally...
On semisimple classes and semisimple characters in finite reductive groups
In this article, we study the elements with disconnected centralizer in the Brauer complex associated to a simple algebraic group defined over a finite field with corresponding Frobenius map and derive the number of -stable semisimple classes of with disconnected centralizer when the order of the fundamental group has prime order. We also discuss extendibility of semisimple characters of the fixed point subgroup to their inertia group in the full automorphism group. As a consequence, we...
On simple distributively generated near-rings
On soluble groups in which centralizers are finitely generated
On solvable groups of exponent 4.
On some Bruhat decomposition and the structure of the Hecke rings of -adic Chevalley groups
On some center-like subsets of groups.