Infinite groups with many permutable subgroups.
Invariants of finite groups generated by generalized transvections in the modular case
We investigate the invariant rings of two classes of finite groups which are generated by a number of generalized transvections with an invariant subspace over a finite field in the modular case. We name these groups generalized transvection groups. One class is concerned with a given invariant subspace which involves roots of unity. Constructing quotient groups and tensors, we deduce the invariant rings and study their Cohen-Macaulay and Gorenstein properties. The other is concerned with...
-theory of virtually poly-surface groups.
Minimal paradoxical decomposition for Mycielski's square
Möbius inversion for the Bruhat ordering on a Weyl group
On a generalization of Mycielski's and Znám's conjectures about coset decomposition of Abelian groups
On Bimorphisms and Quadratic Forms on Groups
On Bimorphisms and Quadratic Forms on Groups. (Short Communications).
On Decomposititons of Discontinuous Groups of the Plane.
On disjoint covering of groups by their cosets
On Equality Of Indices
On equality of indices.
On extensions of homomorphisms.
On factor coverings of groups
On finite groups with some conditions on subsets.
On groups in which idempotent reducts form a chain
On Multihomomorphisms
On multihomomorphisms.
On non-Hopfian groups of fractions
The group of fractions of a semigroup S, if exists, can be written as G = SS−1. If S is abelian, then G must be abelian. We say that a semigroup identity is transferable if being satisfied in S it must be satisfied in G = SS−1. One of problems posed by G.Bergman in 1981 asks whether the group G must satisfy every semigroup identity which is satisfied in S, that is whether every semigroup identity is transferable. The first non-transferable identities were constructed in 2005 by S.V.Ivanov and A.M....
On Normal Fitting Classes.