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Mp-embedded subgroups and the structure of finite groups

  • 1.

    School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China

  • 2.

    School of Mathematics and Statistics, Yili Normal University, Yining 835000, China

Cite this: JUSTC, 2016, 46(11): 887-891
https://doi.org/10.3969/j.issn.0253-2778.2016.11.002
Funds: Supported by the NSFC (11271016,11501235), Qing Lan Project of Jiangsu Province, High-Level Personnel of Support Program of Yangzhou University and the Postgraduate Innovation Project of Jiangsu Province (KYLX15_1352,KYZZ16_0488).
More Information
  • Author Bio:

    ZHANG Jia, male, born in 1988, PhD. Research field: Finite group theory. E-mail: zhangjia198866@126.com

  • Corresponding author:

    MIAO Long

  • Received Date: November 03, 2015
  • Revised Date: September 12, 2016
  • Accepted Date: September 12, 2016
  • Published Date: November 29, 2016
    Abstract
  • A subgroup H of G is called Mp-embedded in G, if there exists a p-nilpotent subgroup B of G such that Hp∈Sylp(B) and B is Mp-supplemented in G. The structure of finite groups is investigated by means of Mp-embedded property of primary subgroups.
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