ON WEAKLY s-PERMUTABLY EMBEDDED SUBGROUPS OF FINITE GROUPS

摘要

Suppose G is a finite group and H is subgroup of G. H is said to be s permutaby embedded in G if for each prime p dividing /H/, a Sylow p-subgroup of H is also a Sylow p-subgroup of some s permutable subgroup of G; H is called weakly s-permutably embedded in G if there are a subnormal subgroup T of G and an s-permutably embedded subgroup HS_e of G contained in H such that G = HT and H n T __ Hse_. We investigate the influence of weakly s-permutably embedded subgroups on the structure offinite groups. Some recent results are generalized.