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On S-c-propermutable subgroups of finite groups

  • 1.

    School of Math. and Comp. Sci., Shanxi Datong University, Datong 037009, China

  • 2.

    School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China

  • 3.

    School of Science, Jiangnan University, Wuxi 214122, China

Cite this: JUSTC, 2015, 45(12): 976-982
https://doi.org/10.3969/j.issn.0253-2778.2015.12.003
Funds: Supported by an NNSF of China (11371335) and Natural Science Youth Foundation of Jiangsu Provincial (20130119).
More Information
  • Corresponding author:

    MAO Yuemei (corresponding author), female, born in 1980, PhD candidate. Research field: group theory.

  • Received Date: June 13, 2015
  • Revised Date: December 09, 2015
  • Accepted Date: December 09, 2015
  • Published Date: December 29, 2015
    Abstract
  • A subgroup H of a group G is said to be S-c-propermutable in G if G has a subgroup B such that G=NG(H)B and for every Sylow subgroup A of B, there exists an element x∈B such that HAx=AxH. Here, S-c-propermutable subgroups were used to study the structure of finite groups and some new criteria of supersoluble groups were obtained.
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