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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

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有限群的p-幂零性和超可解性

毛月梅1,2,杨南迎3   

  1. 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-mei1,2, YANG Nan-ying3   

  1. 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: 通过讨论群G的Sylow子群的极大子群的弱Fs-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 Fs-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
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[2] 高辉,高胜哲*,尹丽. 子群的θ-完备和群的结构[J]. 山东大学学报(理学版), 2014, 49(03): 43-45.
[3] 鲍宏伟1,邱婷婷2,梁倞2. 有限群的若干局部性质[J]. J4, 2012, 47(12): 72-77.
[4] 普昭年1,汤菊萍2,顾春华3. 局部子群的性质对群构造的影响[J]. J4, 2011, 46(12): 51-54.
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