Finite Groups with Weakly -Semipermutable Subgroups

  • Changwen Li

    Xuzhou Normal University, China

Abstract

Suppose is a finite group and is a subgroup of . is said to be -semipermutable in if for any Sylow -subgroup of with ; is called weakly -semipermutable in if there is a subgroup of such that and is -semipermutable in . We investigate the influence of weakly -semipermutable subgroups on the structure of finite groups. Some recent results are generalized and unified.

Cite this article

Changwen Li, Finite Groups with Weakly -Semipermutable Subgroups. Rend. Sem. Mat. Univ. Padova 126 (2011), pp. 73–88

DOI 10.4171/RSMUP/126-5