On homomorphic images of locally graded groups
On hypercentral subgroups of infinite groups
On inert subgroups of a group
On irreducible, infinite, nonaffine Coxeter groups
The following results are proved: The center of any finite index subgroup of an irreducible, infinite, nonaffine Coxeter group is trivial; Any finite index subgroup of an irreducible, infinite, nonaffine Coxeter group cannot be expressed as a product of two nontrivial subgroups. These two theorems imply a unique decomposition theorem for a class of Coxeter groups. We also prove that the orbit of each element other than the identity under the conjugation action in an irreducible, infinite, nonaffine...
On Kurosh-Amitsur radicals of finite groups.
On linearly ordered subgroups of a lattice ordered group
On Locallay Indicable Groups.
On locally graded non-periodic barely transitive groups
On maximal subgroups of minimax groups
It is proved that a soluble residually finite minimax group is finite-by-nilpotent if and only if it has only finitely many maximal subgroups which are not normal.
On maximal subgroups of the general linear group over the field of rational functions.
On mutual commutants of generalized carpet subgroups.
On non-periodic groups whose finitely generated subgroups are either permutable or pronormal
The current article considers some infinite groups whose finitely generated subgroups are either permutable or pronormal. A group is called a generalized radical, if has an ascending series whose factors are locally nilpotent or locally finite. The class of locally generalized radical groups is quite wide. For instance, it includes all locally finite, locally soluble, and almost locally soluble groups. The main result of this paper is the followingTheorem. Let be a locally generalized radical...
On non-supersoluble and non-polycyclic normal subgroups
On normal subgroups of over rings with many units
On normal verbal embeddings of some classes of groups.
On outer automorphisms of Černikov -groups
On overgroups of and in their minimal representations.
On pairs of 2-complexes and systems of equations over groups.
On products of soluble groups of finite rank.
On prosolvable subgroups of profinite free products and some applications.