On finite groups with weakly σ-normal subgroups

被引：0

作者：

Tang, Juping ^{[1
]}

Ji, Jiuzhou ^{[2
]}

Yang, Nanying ^{[2
]}

机构：

[1] Wuxi Inst Technol, Dept Fundamental Courses, Wuxi 214024, Peoples R China

[2] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2025年 / 24卷 / 09期

关键词：

Finite groups; sigma-nilpotent group; sigma-semipermutable subgroup; sigma-permutably embedded subgroup; weakly sigma-normal subgroup; PERMUTABLE SUBGROUPS;

D O I：

10.1142/S0219498825502172

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group and sigma={sigma(i)|i is an element of I} some partition of the set of all primes. A subgroup H of G is said to be weakly sigma-normal in G if there exists a sigma-subnormal subgroup T of G such that G = HT and H boolean AND T <= H-*<= H, where H-* is either sigma-permutably embedded or sigma-semipermutable in G. In this paper, we investigate the influence of weakly sigma-normal subgroups on the structure of finite groups.

引用

页数：14

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