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.
Order Reduced Reidemeister-Schreier Subgroup Presentations and Applications.
Outer automorphism groups of Bieberbach groups.
Partial Homogeneity in Locally Finite Groups.
Partitionen Liescher und algebraischer Gruppen.
Periodic groups saturated by the group .
Periodic groups saturated with the groups .
Periodic subgroups of projective linear groups in positive characteristic
We classify the maximal irreducible periodic subgroups of PGL(q, ), where is a field of positive characteristic p transcendental over its prime subfield, q = p is prime, and × has an element of order q. That is, we construct a list of irreducible subgroups G of GL(q, ) containing the centre ×1q of GL(q, ), such that G/ ×1q is a maximal periodic subgroup of PGL(q, ), and if H is another group of this kind then H is GL(q, )-conjugate to a group in the list. We give criteria for determining...
Periodic-by-nilpotent linear groups
Permutable Subgroups of Infinite Groups.
Pinned-flags of some operations on fuzzy subgroups.