【摘要】 群G的子群H称为半置换的,若对任意的K≤G,只要(|H|,|K|)=1,就有HK=KH.H称为s-半置换的,若对任意的p||G|,只要(p,|H|)=1,就有PH=HP,其中P∈Syl_p(G).本文研究Sylow子群的极大子群及极小子群的s-半置换性对有限群的p-超可解性的影响.更多还原

【Abstract】 Let G be a finite group.A subgroup H of a group G is called semipermutable flit is permutable with every subgroup K of G with(|H|,|K|)=1,and s-semipermutable flit is permutable with every Sylow p-subgroup of G with(p,|H|)=1.The influence of s-semipermutablity of maximal subgroups and minimal subgroups of Sylow subgroup of a finite group on its p-supersolvability are investigated.更多还原