某些子群嵌入性质对群类构造的影响
The influence of some embedded subgroups on the structure of finite groups
-
摘要: 利用Sylow子群的给定阶子群在正规化子中的
\cal M - 可补性,借助\cal H(P) 中子群的几乎m-嵌入性质研究群类结构,给出群G为p-幂零群以及超可解群的一些充分条件,并探讨了广义超中心的结构.Abstract: Using\cal M - supplemented subgroups property in normalizer of the given order subgroup of Sylow subgroups, we study the structure of finite groups with nearly m-embedded subgroups in\cal H(P) . Some sufficient conditions for p-nilpotent groups and supersolvable groups are obtained, and the structure of generalized hypercentre is further discussed.