Results 1 to 10 of about 288 (124)

On Periodic Groups of Shunkov with the Chernikov Centralizers of Involutions

Известия Иркутского государственного университета: Серия "Математика", 2020
Layer-finite groups first appeared in the work by S.~N.~Chernikov (1945). Almost layer-finite groups are extensions of layer-finite groups by finite groups.
V.I. Senashov
doaj   +5 more sources

On nilpotent Chernikov p-groups with elementary tops [PDF]

Archiv Der Mathematik, 2014
The description of nilpotent Chernikov $p$-groups with elementary tops is reduced to the study of tuples of skew-symmetric bilinear forms over the residue field $\mathbb{F}_p$. If $p\ne2$ and the bottom of the group only consists of $2$ quasi-cyclic summands, a complete classification is given. We use the technique of quivers with relations.
Yuriy Drozd
exaly   +3 more sources

Locally finite groups with all subgroups either subnormal or nilpotent-by-Chernikov

Open Mathematics, 2012
Abstract Let G be a locally finite group satisfying the condition given in the title and suppose that G is not nilpotent-by-Chernikov. It is shown that G has a section S that is not nilpotent-by-Chernikov, where S is either a p-group or a semi-direct product of the additive group A of a locally finite field F by a subgroup K of the ...
Giovanni Cutolo, Smith Howard
exaly   +10 more sources

Groups whose proper subgroups are Baer-by-Chernikov or Baer-by-(finite rank)

Open Mathematics, 2011
Abstract Our main result is that a locally graded group whose proper subgroups are Baer-by-Chernikov is itself Baer-by-Chernikov. We prove also that a locally (soluble-by-finite) group whose proper subgroups are Baer-by-(finite rank) is itself Baer-by-(finite rank) if either it is locally of finite rank but not locally finite or it has ...
Nadir Trabelsi
exaly   +2 more sources

Groups with Chernikov conjugacy classes in which Sylow permutability is a transitive relation

Journal of Algebra, 2010
A subgroup \(H\) of a group \(G\) is called permutable (or quasinormal) if \(HK=KH\) for all subgroups \(K\) of \(G\). A group \(G\) is called a PT-group if permutability is a transitive relation. A subgroup \(H\) is called S-permutable if \(HS=SH\) for every Sylow \(p\)-subgroup \(S\) of \(G\) and for each prime \(p\).
JOSÉ M Muñoz-Escolano, J Otal
exaly   +2 more sources

On Periodic Shunkov’s Groups with Almost Layer-finite Normalizers of Finite Subgroups

Известия Иркутского государственного университета: Серия "Математика", 2021
Layer-finite groups first appeared in the work by S.~N.~Chernikov (1945). Almost layer-finite groups are extensions of layer-finite groups by finite groups.
V.I. Senashov
doaj   +1 more source

Properties of groups with points [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2009
In this paper, we consider groups with points which were introduced by V.P. Shunkov in 1990. In Novikov-Adian's group, Adian's periodic products of finite groups without involutions and Olshansky's periodic monsters every non-unit element is a point ...
V.I. Senashov, E.N. Takovleva
doaj   +1 more source

New classes of infinite groups [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2008
In this article, we consider some new classes of groups, namely, Mp-groups, T0-groups,Ø-groups,Ø0-groups, groups with finitely embedded involution, which were appeared at the end of twenties century.
V.I. Senashov, V.P. Shunkov
doaj   +1 more source

On a bottom layer in a group

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
We consider the problem of recognizing a group by its bottom layer. This problem is solved in the class of layer-finite groups. A group is layer-finite if it has a finite number of elements of every order. This concept was first introduced by S.
V.I. Senashov, I.A. Paraschuk
doaj   +1 more source

Issues of the evolution of the image of Stalingrad-Volgograd in fine arts 1940–2020

Искусство Евразии, 2020
The article examines the features of artistic perception and representation of the geographical and cultural space of Stalingrad-Volgograd in evolutionary development in 1940–2020; interaction between architectural and artistic texts of the city, the ...
Malkova, O.P.
doaj   +1 more source