ON WEAKLY tcc-SUBGROUPS OF FINITE GROUPS

被引：0

作者：

Trofimuk, A. ^{[1
]}

机构：

[1] Brest State AS Pushkin Univ, Kosmonavtov Blvd 21, Brest 224016, BELARUS

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2023年 / 20卷 / 02期

关键词：

Finite group; cc-permutable subgroups; Sylow subgroups; maximal subgroups; supersoluble group; SUBNORMALITY;

D O I：

10.33048/semi.2023.20.090

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The subgroups A and B are said to be cc-permutable, if A is permutable with B-x for some x is an element of < A, B >. A subgroup A of a finite group G is called weakly tcc-subgroup (wtcc-subgroup, for brevity) in G, if there exists a subgroup Y of G such that G = AY and A has a chief series 1 = A(0) <= A(1) <= ... <= A(s-1) <= A(s) = A such that every A(i) is cc-permutable with all subgroups of Y for all i = 1, ... , s. In this paper, we studied the influence of given systems of wtcc-subgroups on the structure of a group G.

引用

页码：1464 / 1473

页数：10

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