On Multihomomorphisms
On multihomomorphisms.
On multipliers of Heineken-Mohamed type groups
On mutual commutants of generalized carpet subgroups.
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 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 Fitting Classes.
On normal subgroups of compact groups
Among compact Hausdorff groups whose maximal profinite quotient is finitely generated, we characterize those that possess a proper dense normal subgroup. We also prove that the abstract commutator subgroup is closed for every closed normal subgroup of .
On normal verbal embeddings of some classes of groups.
On One-Relator Groups which Satisfy Poincaré Duality.
On one-relator soluble groups.
On ordering the groups with nilpotent commutant.
On orthogonally -complete lattice ordered groups
In this paper we prove a theorem of Cantor-Bernstein type for orthogonally -complete lattice ordered groups.
On Outer Automorphism Groups of Coxeter Groups.
On outer automorphisms of Černikov -groups
On -groups with abelian automorphism group
On -groups with generally finite element.
On pairs of 2-complexes and systems of equations over groups.
On Parabolic Subgroups and Hecke Algebras of some Fractal Groups
* The authors thank the “Swiss National Science Foundation” for its support.We study the subgroup structure, Hecke algebras, quasi-regular representations, and asymptotic properties of some fractal groups of branch type. We introduce parabolic subgroups, show that they are weakly maximal, and that the corresponding quasi-regular representations are irreducible. These (infinite-dimensional) representations are approximated by finite-dimensional quasi-regular representations. The Hecke algebras...