FINITE GROUPS WITH WEAKLY SUBNORMAL AND PARTIALLY SUBNORMAL SUBGROUPS

被引：1

作者：

Huang, J. ^{[1
]}

Hu, B. ^{[1
]}

Skiba, A. N. ^{[2
]}

机构：

[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou, Jiangsu, Peoples R China

[2] Francisk Skorina Gomel State Univ, Gomel, BELARUS

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2021年 / 62卷 / 01期

关键词：

finite group; weakly subnormal subgroup; partially subnormal subgroup; supersoluble group; Schmidt subgroup;

D O I：

10.1134/S0037446621010183

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the influence of weakly subnormal and partially subnormal subgroups on the structure of a group G. In particular, we prove that a finite group G is supersoluble if and only if G = AB, where A and B are supersoluble weakly subnormal subgroups in G, and every Schmidt subgroup in G is partially subnormal in G.

引用

页码：169 / 177

页数：9

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