On the maximum and minimum chain conditions for the "largeness" ordering on the class of groups.
On the Mislin genus of certain circle bundles and noncancellation.
On the Nielsen Method in Free Products with Amalgamated Subgroups.
On the number of generating pairs for the groups and .
On the number of isomorphism classes of derived subgroups
We show that a finite nonabelian characteristically simple group satisfies if and only if , where is the number of isomorphism classes of derived subgroups of and is the set of prime divisors of the group . Also, we give a negative answer to a question raised in M. Zarrin (2014).
On the power-commutative kernel of locally nilpotent groups.
On the reflection representation in Springer's theory.
On the relations between abstract and geometrical equivalence of abstract objects
On the relations between the central factor-module and the derived submodule in modules over group rings
A modular analogue of the well-known group theoretical result about finiteness of the derived subgroup in a group with a finite factor by its center has been obtained.
On the representation theory of braid groups
This work presents an approach towards the representation theory of the braid groups . We focus on finite-dimensional representations over the field of Laurent series which can be obtained from representations of infinitesimal braids, with the help of Drinfeld associators. We set a dictionary between representation-theoretic properties of these two structures, and tools to describe the representations thus obtained. We give an explanation for the frequent apparition of unitary structures on classical...
On the residual properties of link groups.
On the squares of sets of linear groups
On the SQ-universality of T(6)-groups.
On the sructure of non-singular iteration groups on the circle.
On the structural theory of factors of negatively curved groups
Ozawa showed in [21] that for any i.c.c. hyperbolic group, the associated group factor is solid. Developing a new approach that combines some methods of Peterson [29], Ozawa and Popa [27, 28], and Ozawa [25], we strengthen this result by showing that is strongly solid. Using our methods in cooperation with a cocycle superrigidity result of Ioana [12], we show that profinite actions of lattices in , , are virtually -superrigid.
On the structure of finite loop capable nilpotent groups
In this paper we consider finite loops and discuss the problem which nilpotent groups are isomorphic to the inner mapping group of a loop. We recall some earlier results and by using connected transversals we transform the problem into a group theoretical one. We will get some new answers as we show that a nilpotent group having either , as the Sylow -subgroup for some odd prime or the group of quaternions as the Sylow -subgroup may not be loop capable.
On the structure of groups whose non-abelian subgroups are subnormal
The main aim of this article is to examine infinite groups whose non-abelian subgroups are subnormal. In this sense we obtain here description of such locally finite groups and, as a consequence we show several results related to such groups.
On the structure of the centralizer of a braid
On the Structure of the Normal Subgroups of a Group: Nilpotency.
On the structure of the normal subgroups of a group : supersolubility