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中文摘要：
设G为有限群,H是G的子群,称H是G的S-拟正规子群,如果对G的任意Sylow子群P,有HP=PH;称H是G的S-拟正规嵌入子群,若H的Sylow子群为G的某个S-拟正规子群的Sylow子群;称H是G的弱c＊-正规子群,如果G有次正规子群K使得G=HK且满足H∩K在G中是S-拟正规嵌入;称H在G中ss-拟正规,如果存在G的子群B使得G=HB并且H与B的每个Sylow子群可置换.研究弱c＊-正规子群与ss-拟正规子群对有限群结构的影响,推广了最近的一些结论.
英文摘要：
A subgroup H of a finite group G is called a weakly c＊-normal subgroup of G if there exists a subnormal subgroup K of G such that G=HK and H∩K is an s-quasinormal embedded subgroup of G.H is called ss-quasinormal in G if there is a subgroup B of G such that G=HB and H permutes with every Sylow subgroup of B.We investigate the influence of weakly c＊-normal and ssquasinormal subgroups on the structure of finite groups.Some recent results are generalized.
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