Journal of University of Science and Technology of China ›› 2018, Vol. 48 ›› Issue (11): 898-901.DOI: 10.3969/j.issn.0253-2778.2018.11.005

• Original Paper • Previous Articles     Next Articles

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).

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

CLC Number: