On products of soluble groups of finite rank.
On some finiteness conditions in semigroup and group theory.
On some properties of pronormal subgroups
New results on tight connections among pronormal, abnormal and contranormal subgroups of a group have been established. In particular, new characteristics of pronormal and abnormal subgroups have been obtained.
On some questions concerning permutable subgroups of finitely generated groups and projectivities of perfect groups
On some soluble groups in which -subgroups form a lattice
The article is dedicated to groups in which the set of abnormal and normal subgroups (-subgroups) forms a lattice. A complete description of these groups under the additional restriction that every counternormal subgroup is abnormal is obtained.
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 subgroups of the general linear group over the skew field of quaternions which contain the symplectic group.
On subnormal series with factors of finite rank : the join problem
On subnormal subgroups of linear groups.
On subsemigroup lattices of aperiodic groups.
On the Cantor-Bendixson rank of metabelian groups
We study the Cantor-Bendixson rank of metabelian and virtually metabelian groups in the space of marked groups, and in particular, we exhibit a sequence of 2-generated, finitely presented, virtually metabelian groups of Cantor-Bendixson rank .
On the closed left ideals of the group algebra
On the Embedding of Semigroups into Nilpotent Groups
On the Genus of a Nilpotent Group with Finite Commutator Subgroup.
On the lattice automorphisms of certain simple algebraic groups
On the lattice of pronormal subgroups of dicyclic, alternating and symmetric groups
In this paper, the structures of collection of pronormal subgroups of dicyclic, symmetric and alternating groups are studied in respect of formation of lattices and sublattices of . It is proved that the collections of all pronormal subgroups of and S do not form sublattices of respective and , whereas the collection of all pronormal subgroups of a dicyclic group is a sublattice of . Furthermore, it is shown that and ) are lower semimodular lattices.
On the maximum and minimum chain conditions for the "largeness" ordering on the class of groups.
On the number of subgroups of given index in the modular group.
On the power-commutative kernel of locally nilpotent groups.
On the Structure of Compact Torsion Groups.