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 isa subgroup of such that and is -semipermutable in . We investigate the influence of weakly -semipermutablesubgroups on the structure of finite groups. Some recentresults are generalized and unified.
Cite this article
Changwen Li, Finite Groups with Weakly -Semipermutable Subgroups. Rend. Sem. Mat. Univ. Padova 126 (2011), pp. 73–88DOI 10.4171/RSMUP/126-5