Weakly -semipermutable subgroups and -nilpotency of groups

  • Hassan Jafarian Dehkordy

    Shahrekord University, Iran
  • Gholamreza Rezaeezadeh

    Shahrekord University, Iran
Weakly $S$-semipermutable subgroups and $p$-nilpotency of groups cover
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A subgroup of a finite group is said to be -semipermutable in if for every Sylow subgroup of with . A subgroup of is said to be weakly -semipermutable in if there exists a normal subgroup of such that is -permutable and is -semipermutable in . In this paper we prove that for a finite group , if some cyclic subgroups or maximal subgroups of are weakly -semipermutable in , then is -nilpotent.

Cite this article

Hassan Jafarian Dehkordy, Gholamreza Rezaeezadeh, Weakly -semipermutable subgroups and -nilpotency of groups. Rend. Sem. Mat. Univ. Padova 150 (2023), pp. 137–148

DOI 10.4171/RSMUP/112