Journal of University of Science and Technology of China ›› 2015, Vol. 45 ›› Issue (12): 976-982.DOI: 10.3969/j.issn.0253-2778.2015.12.003

• Research Articles:Mathematics • Previous Articles     Next Articles

On S-c-propermutable subgroups of finite groups

MAO Yuemei, MA Xiaojian, YANG Nanying   

  1. 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
  • Received:2015-06-14 Revised:2015-12-10 Accepted:2015-12-10 Online:2023-03-27 Published:2015-12-10
  • Contact: MAO Yuemei
  • About author:MAO Yuemei (corresponding author), female, born in 1980, PhD candidate. Research field: group theory.
  • Supported by:
    Supported by an NNSF of China (11371335) and Natural Science Youth Foundation of Jiangsu Provincial (20130119).

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.

Key words: S-permutable subgroup, S-c-propermutable subgroup, Sylow subgroup, Hall subgroup

CLC Number: