On periodic groups with small orders of elements.
On solvable groups of exponent 4.
On some groups with almost regular element of prime order.
On some infinite dimensional linear groups
Let F be a field, A be a vector space over F, and GL(F,A) the group of all automorphisms of the vector space A. A subspace B of A is called nearly G-invariant, if dimF(BFG/B) is finite. A subspace B is called almost G-invariant, if dimF(B/CoreG(B)) is finite. In the present article we begin the study of subgroups G of GL(F,A) such that every subspace of A is either nearly G-invariant or almost G-invariant. More precisely, we consider the case when G is a periodic p′-group where p = charF.
On some model theoretic problems concerning certain extensions of abelian groups by groups of finite exponent
On strong uniform dimension of locally finite groups
We give the description of locally finite groups with strongly balanced subgroup lattices and we prove that the strong uniform dimension of such groups exists. Moreover we show how to determine this dimension.
On the Burnside problem for groups of even exponent.
On the Burnside Problem for Periodic Groups.
On the centralizer of an automorphism of order 2 of the Burnside group .
On the existence of -local subgroups in a group.
On the exponent of the product of two groups
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 totally inert simple groups
A subgroup H of a group G is inert if |H: H ∩ H g| is finite for all g ∈ G and a group G is totally inert if every subgroup H of G is inert. We investigate the structure of minimal normal subgroups of totally inert groups and show that infinite locally graded simple groups cannot be totally inert.
On variants of a theorem of Schur.