The semi p-cover-avoidance properties of p-sylowizers in finite groups

被引：6

作者：

Li, Xianhua ^{[1
]}

Lei, Donglin ^{[1
]}

机构：

[1] Soochow Univ, Sch Math Sci, Suzhou, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2021年 / 49卷 / 11期

基金：

中国国家自然科学基金;

关键词：

pU-hypercentre; p-cover-avoidance properties; p-solvable; p-supersolvable; p-sylowizer; SUBGROUPS;

D O I：

10.1080/00927872.2021.1924765

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A subgroup S of G is called a p-sylowizer of a p-subgroup R in G if S is maximal in G with respect to having R as its Sylow p-subgroup. In this paper, we give some new characterizations of p-solvable and p-supersolvable groups by the p-cover-avoidance properties of the p-sylowizers of some p-subgroups and the p-sylowizers in some classes of groups.

引用

页码：4588 / 4599

页数：12

共 21 条

[1] Local Embeddings of Some Families of Subgroups of Finite Groups [J].