Finite Groups with Weakly ss-Semipermutable Subgroups

  • Changwen Li

    Xuzhou Normal University, China


Suppose GG is a finite group and HH is a subgroup of GG. HH is said to be ss-semipermutable in GG if HGp=GpHHG_{p} = G_{p}H for any Sylow pp-subgroup GpG_{p} of GG with (p,H)=1(p, |H|)=1; HH is called weakly ss-semipermutable in GG if there is a subgroup TT of GG such that G=HTG=HT and HTH\cap T is ss-semipermutable in GG. We investigate the influence of weakly ss-semipermutable subgroups on the structure of finite groups. Some recent results are generalized and unified.

Cite this article

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

DOI 10.4171/RSMUP/126-5