中国科学技术大学学报 ›› 2018, Vol. 48 ›› Issue (11): 898-901.DOI: 10.3969/j.issn.0253-2778.2018.11.005

• 论著 • 上一篇    下一篇

有限群的可补的Sylow子群

鲍宏伟,张佳,缪龙   

  1. 1.蚌埠学院理学院数学系, 安徽蚌埠 233030;2.西华师范大学数学与信息学院, 四川南充 637009;3.扬州大学数学科学学院,江苏扬州 225002
  • 收稿日期:2017-07-08 修回日期:2018-01-05 接受日期:2018-01-05 出版日期:2018-11-30 发布日期:2018-01-05

Complemented Sylow subgroups of finite groups

  1. BAO Hongwei, ZHANG Jia2, MIAO Long3
  • Received:2017-07-08 Revised:2018-01-05 Accepted:2018-01-05 Online:2018-11-30 Published:2018-01-05
  • Contact: ZHANG Jia
  • About author:BAO Hongwei, male, born in 1970, master/associate Prof. Research field:Finite group theory. E-mail: big_bao2003@163.com
  • Supported by:
    Supported by the NSFC (11871062, 11501235), the Natural Science Foundation of Jiangsu Province (BK20181451), the Key Natural Science Foundation of Anhui Education Commission (KJ2017A569), the Fundamental Research Funds of China West Normal University (17E091).

摘要: 研究Sylow子群的可补性与群结构的关系, 得到了一些关于合成因子构造的结果, 推广了Heliel的一个结果.

关键词: 合成因子, 可补性, Sylow子群, 单群

Abstract: The relationship between the complementability of Sylow subgroups and the structure of a group was considered, and some results about the construction of composition factors were obtained. Further, one of Heliel’s results is the corollary of our results.

Key words: composition factor, complementability, Sylow subgroup, simple group

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