有限群的p-幂零性和超可解性

doi:10.6040/j.issn.1671-9352.0.2015.239

山东大学学报（理学版） ›› 2016, Vol. 51 ›› Issue (4): 39-42.doi: 10.6040/j.issn.1671-9352.0.2015.239

有限群的p-幂零性和超可解性

毛月梅^1,2,杨南迎³

1.山西大同大学数学与计算机科学学院, 山西大同 037009;2.中国科技大学数学学院, 安徽合肥 230026;3.江南大学理学院, 江苏无锡 214064

收稿日期:2015-05-20 出版日期:2016-04-20 发布日期:2016-04-08
作者简介:毛月梅(1980— ),女,博士研究生,讲师,研究方向为群论. E-mail:maoym@mail.ustc.edu.cn
基金资助:
江苏省自然科学青年基金(BK20130119)

On p-nilpotency and supersolubility of finite groups

MAO Yue-mei^1,2, YANG Nan-ying³

1. School of Mathematics and Computer Science, Datong University, Datong 037009, Shanxi, China;
2. Department of Mathematics, University of Science and Technology of China, Hefei 230026, Anhui, China;
3. School of Sciences, Jiangnan University, Wuxi 214064, Jiangsu, China

Received:2015-05-20 Online:2016-04-20 Published:2016-04-08

摘要/Abstract

摘要： 通过讨论群G的Sylow子群的极大子群的弱F_s-拟正规性,得到了G是p-幂零和超可解的一些新的判别准则。

关键词: 2-极大子群, 超可解群, S-拟正规子群, p-幂零群

Abstract: By studying the weakly F_s-quasinormality of the maximal subgroup of Sylow subgroups of G, some new characterizations about p-nilpotency and supersolubility of G are obtained.

Key words: 2-maximal subgroup, p-nilpotent group, S-quasinormal subgroup, supersoluble group

中图分类号:

O152

毛月梅,杨南迎. 有限群的p-幂零性和超可解性[J]. 山东大学学报（理学版）, 2016, 51(4): 39-42.

MAO Yue-mei, YANG Nan-ying. On p-nilpotency and supersolubility of finite groups[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(4): 39-42.

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有限群的p-幂零性和超可解性

On p-nilpotency and supersolubility of finite groups

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