Groups Satisfying the Minimal Condition for Non-abelian Non-normal Subgroups
View/ Open:
URI (for links/citations):
https://elib.sfu-kras.ru/handle/2311/10134Author:
Chernikov, Nikolai S.
Черников, Николай С.
Date:
2014-01Abstract:
In the present paper, we establish that in a great many large and extremely large classes of groups, the
non-abelian groups satisfying the mentioned condition are exactly the non-abelian Chernikov groups and
the non-abelian solvable groups with normal non-abelian subgroups В настоящей статье устанавливается, что в очень многих больших и экстремально-больших
классах групп, неабелевы группы, удовлетворяющие указанному условию, это в точности неабелевы черниковские группы и неабелевы разрешимые группы с нормальными неабелевыми подгруппами
Collections:
Metadata:
Show full item recordRelated items
Showing items related by title, author, creator and subject.
-
Some Minimal Conditions in Certain Extremely Large Classes of Groups
Chernikov, Nikolai S.; Черников, Николай С. (Сибирский федеральный университет. Siberian Federal University., 2015-02)Let L (respectively T) be the minimal local in the sense of D.Robinson class of groups, containing the class of weakly graded (respectively primitive graded) groups and closed with respect to forming subgroups and series. ... -
Centralizers of Finite p-Subgroups in Simple Locally Finite Groups
Kuzucuoglu, Mahmut; Кузусуоглу, Махмут (Сибирский федеральный университет. Siberian Federal University, 2017-09)We are interested in the following questions of B. Hartley: (1) Is it true that, in an infinite, simple locally finite group, if the centralizer of a finite subgroup is linear, then G is linear? (2) For a finite subgroup ... -
On the Equationally Artinian Groups
Shahryari, Mohammad; Tayyebi, Javad; Шахрияри, Мохаммад; Тайеби, Джавад (Сибирский федеральный университет. Siberian Federal University, 2020-09)In this article, we study the property of being equationally Artinian in groups. We define the radical topology corresponding to such groups and investigate the structure of irreducible closed sets of these topologies. ... -
Sharply 3-transitive Groups with Finite Element
Durakov, Evgeny B.; Дураков, Евгений Б. (Сибирский федеральный университет. Siberian Federal University, 2021-04)In this paper we study sharply 3-transitive groups. The local finiteness of sharply triply transitive permutation groups of characteristic p > 3 containing a finite element of order p is proved. Keywords: group, sharply ... -
On a Sufficient Condition when an Infinite Group Is not Simple
Shlepkin, Aleksei A.; Шлепкин, Алексей А. (Сибирский федеральный университет. Siberian Federal University, 2018-03)We describe the conditions of existing periodic part in Shunkov group