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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

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).
Cite this:
https://doi.org/10.3969/j.issn.0253-2778.2016.11.002
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  • 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: 04 November 2015
  • Accepted Date: 13 September 2016
  • Rev Recd Date: 13 September 2016
  • Publish Date: 30 November 2016
    Abstract

  • 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.

    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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    • References(3)
  • [1]
    GWYNNE E. Functional inequalities for Gaussian and Log-Concave probability measures[D]. Chicago: Northwestern University, 2013.
    [2]
    HSU E P. Stochastic analysis and applications[R]. Chicago: Northwestern University, 2016.
    [3]
    BOGACHEV V I. Gaussian Measures[M]. Providence, RI: American Mathematical Society, 1998.
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    [1]
    GWYNNE E. Functional inequalities for Gaussian and Log-Concave probability measures[D]. Chicago: Northwestern University, 2013.
    [2]
    HSU E P. Stochastic analysis and applications[R]. Chicago: Northwestern University, 2016.
    [3]
    BOGACHEV V I. Gaussian Measures[M]. Providence, RI: American Mathematical Society, 1998.
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