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Ukrainian Mathematical Journal

, Volume 66, Issue 5, pp 775–780 | Cite as

Second Maximal Subgroups of a Sylow p-Subgroup and the p-Nilpotency of Finite Groups

  • Y. Xu
  • X. H. Li
Article
  • 45 Downloads

A subgroup H of a group G is said to be weakly s-semipermutable in G if G has a subnormal subgroup T such that HT = G and HT ≤ \( {H}_{\overline{s}G} \), where \( {H}_{\overline{s}G} \) is the subgroup of H generated by all subgroups of H that are s-semipermutable in G. The main aim of the paper is to study the p-nilpotency of a group for which every second maximal subgroup of its Sylow p-subgroups is weakly s-semipermutable. Some new results are obtained.

Keywords

Normal Subgroup Finite Group Simple Group Maximal Subgroup Prime Divisor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Y. Xu
    • 1
  • X. H. Li
    • 2
  1. 1.School of Mathematics and StatisticsHenan University of Sciences and TechnologyLuoyangChina
  2. 2.School of Mathematical SciencesSoochow UniversitySuzhouChina

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