广义正规性对有限群p-幂零性的影响

doi:10.6040/j.issn.1671-9352.0.2024.312

《山东大学学报(理学版)》 ›› 2026, Vol. 61 ›› Issue (4): 42-45.doi: 10.6040/j.issn.1671-9352.0.2024.312

• • 上一篇

广义正规性对有限群p-幂零性的影响

雒晓良,贾蕾

太原师范学院数学与统计学院, 山西晋中 030619

发布日期:2026-04-08
作者简介:雒晓良(1983— ),男,副教授,硕士生导师,博士,研究方向为群论. E-mail:xlluo2016@aliyun.com
基金资助:
山西省教育厅科技创新项目(2020L0518)

Influence of the generalized normality on p-nilpotent of the finite group

LUO Xiaoliang, JIA Lei

School of Mathematics and Statistics, Taiyuan Normal University, Jinzhong 030619, Shanxi, China

Published:2026-04-08

摘要/Abstract

摘要： 分析Sylow子群的极大子群在群G中的n-σ-嵌入性质,结合正规化子与导子群的理论,得到有限群是p-幂零群的几个充分条件。

关键词: n-σ-嵌入子群, p-幂零群, p-可解群, σ-置换子群

Abstract: The n-σ-embedded properties of the maximal subgroups of the Sylow subgroups are investigated, and some sufficient conditions for finite groups to be p-nilpotent are obtained.

Key words: n-σ-embedded subgroup, p-nilpotent group, p-solvable group, σ-permutable subgroup

中图分类号:

O152

雒晓良,贾蕾. 广义正规性对有限群p-幂零性的影响[J]. 《山东大学学报(理学版)》, 2026, 61(4): 42-45.

LUO Xiaoliang, JIA Lei. Influence of the generalized normality on p-nilpotent of the finite group[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2026, 61(4): 42-45.

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广义正规性对有限群p-幂零性的影响

Influence of the generalized normality on p-nilpotent of the finite group

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