Finite groups in which the sylowizers of each, non-trivial primary subgroups are conjugate

被引：3

作者：

Lei, Donglin ^{[1
]}

Li, Xianhua ^{[1
]}

机构：

[1] Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2020年 / 162卷

基金：

中国国家自然科学基金;

关键词：

Sylowizer; Conjugacy; Finite simple group; Chief factor; Solvable;

D O I：

10.1016/j.bulsci.2020.102876

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A subgroup S of a group 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 investigate the structure of the group G in which the sylowizers of each nontrivial primary subgroups in G are conjugate and give the non-solvable chief factors of G. (C) 2020 Elsevier Masson SAS. All rights reserved.

引用

页数：17

共 21 条

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