Sylowizers and p-nilpotency in finite groups

被引：0

作者：

Zhang, Boru ^{[1
]}

Lu, Jiakuan ^{[1
]}

Meng, Wei ^{[2
]}

机构：

[1] Guangxi Normal Univ, Sch Math & Stat, Guilin 541006, Guangxi, Peoples R China

[2] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541006, Guangxi, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2025年

基金：

中国国家自然科学基金;

关键词：

coprime action; p-nilpotency; p-Sylowizer;

D O I：

10.1142/S0219498826501148

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G and A be finite groups of relative coprime orders and A act on G via automorphisms. An A-invariant subgroup S of G is called an A-p-Sylowizer of an A-invariant p-subgroup R if S is maximal in G with respect to having R as its Sylow p-subgroup. In this paper, we obtain some criteria for p-nilpotency of a finite group by analyzing the relation to specific subsets and characteristics of the maximal A-invariant subgroups of an A-invariant Sylow p-subgroup.

引用

页数：9

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