Second Maximal Subgroups of a Sylow <em class="a-plus-plus">p</em>-Subgroup and the <em class="a-plus-plus">p</em>-Nilpotency of Finite Groups

  • X. H. Li
  • Y. Xu

Abstract

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.
Published
25.05.2014
How to Cite
Li, X. H., and Y. Xu. “Second Maximal Subgroups of a Sylow <em class="a-Plus-plus">p</em>-Subgroup and the <em class="a-Plus-plus">p</Em&gt;-Nilpotency of Finite Groups”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, no. 5, May 2014, pp. 694–698, http://umj.imath.kiev.ua/index.php/umj/article/view/2170.
Section
Research articles