On the Structure of Compact Torsion 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 the Structure of Locally Compact Topological Groups.
On the structure of the centralizer of a braid
On the Structure of the Normal Subgroups of a Group: Nilpotency.
On the structure of the normal subgroups of a group : supersolubility
On the subgroups of the Picard group.
On the verbal width of finitely generated pro- groups.
On topologies of free 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 transitivity of pronormality
This article is dedicated to soluble groups, in which pronormality is a transitive relation. Complete description of such groups is obtained.
On universal theories of metabelian groups and the Shmel'kin embedding.
On variants of a theorem of Schur.
On varieties of completely regular semigroups II.
On varieties of completely regular semigroups III.
On Virtual Properties and Group Extensions.
On zeros of characters of finite groups
For a finite group and a non-linear irreducible complex character of write . In this paper, we study the finite non-solvable groups such that consists of at most two conjugacy classes for all but one of the non-linear irreducible characters of . In particular, we characterize a class of finite solvable groups which are closely related to the above-mentioned question and are called solvable -groups. As a corollary, we answer Research Problem in [Y. Berkovich and L. Kazarin: Finite...
On zero-symmetric nearrings with identity whose additive groups are simple
We investigate conditions on an infinite simple group in order to construct a zero-symmetric nearring with identity on it. Using the Higman-Neumann-Neumann extensions and Clay’s characterization, we obtain zero-symmetric nearrings with identity with the additive groups infinite simple groups. We also show that no zero-symmetric nearring with identity can have the symmetric group as its additive group.
Opérateurs invariants sur certains immeubles affines de rang 2
On considère un immeuble de type ou , différents sous-ensembles de l’ensemble des sommets de et différents groupes d’automorphismes de , très fortement transitifs sur . On montre que l’algèbre des opérateurs -invariants agissant sur l’espace des fonctions sur est souvent non commutative (contrairement aux résultats classiques). Dans certains cas on décrit sa structure et on détermine ses fonctions radiales propres. On en déduit que la conjecture d’Helgason n’est pas toujours vérifiée...
Operator Algebras Associated with Free Products of Groups with Amalgamation.