Journal of Guangxi Normal University(Natural Science Edition) ›› 2010, Vol. 28 ›› Issue (3): 29-32.

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Influence of Weakly s-permutably Embedded Subgroups on p-nilpotent Groups

LI Chang-wen1, YU Qiu2   

  1. 1. School of Mathematical Science,Xuzhou Normal University,Xuzhou Jiangsu 221116,China;
    2. School of Science,Huaihai Institute of Technology,Lianyuangang Jiangsu222001,China
  • Received:2010-04-25 Online:2010-09-20 Published:2023-02-06

Abstract: A subgroup H of a group G is said to be weakly s-permutably embedded in G if there are a subnormal subgroup T ofG and an s-permutably embedded subgroup Hse of G contained in H such that G=HT and H∩T≤Hse.By using the property ofweakly s-permutably embedded groups,some criterions of p-nilpotency offinite groups are obtained.

Key words: weakly s-permutably embedded, p-nilpotent, Sylow p-subgroup

CLC Number: 

  • O152
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