关于S-拟正规性的一些必要条件

摘要

To prove whether S-quasinormal subgroups have half normality , and using S-quasinormality of subset to study the supersolvablity in finite group .Let G be a finite group . A subgroup H of G is said to be S-quasinormal in G if HP=PH for all Sylow subgroups P of G.Let several subsets in finite group have S-quasinormal, which could get the result that the group have supersolvablity .%为证明S-拟正规子群是否具有半正规性，并应用有限群的子集的S-拟正规性来研究有限群的超可解性．设G为有限群，H≤G，称H为G的S-拟正规子群，如果对于G的任意一个Sylow子群P，都有HP＝PH．给有限群的某些子集赋予S-拟正规性，可得群具有超可解性。