弱s-可补子群对有限群结构的影响

Weak s-Complementary Subgroup Making an Impact on Finite Group Structure

讨论群G的sylow子群的极大子群的弱s-可补性对群G的p-幂零性的影响,得到群的关于p-幂零性的两个充分条件.所得结果推广了c-正规、s-拟正规、s-拟正规嵌入等子群的相关结论.

This paper discusses that the weakly s-supplement of infinite subgroups in the group-G＇ sylow subgroup has an effect on p-nilpotency in group-G,and obtains two sufficient conditions on p-nilpotency in groups.The conclusion generalizes the c-normal subgroups,s-quasi normal subgroups and s-quasi normalembedding subgroups.