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

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.


Normal Subgroup Finite Group Simple Group Maximal Subgroup Prime Divisor 
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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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