Let P∈SylpG,ch(P) be any characteristic subgroup of P. A group C is called a Cp-group if G satisfies the condition 'NG(ch(P)) is p-nilpotent implies that G is p-nilpotent'. In this paper some properties on Gp...Let P∈SylpG,ch(P) be any characteristic subgroup of P. A group C is called a Cp-group if G satisfies the condition 'NG(ch(P)) is p-nilpotent implies that G is p-nilpotent'. In this paper some properties on Gp-groups and some suffcient conditions for a group to be p-nilpotent are obtained.展开更多
基金This research was supported by National Natural Scicnce Foundation of China and Foundation of Guangxi Education Committee
文摘Let P∈SylpG,ch(P) be any characteristic subgroup of P. A group C is called a Cp-group if G satisfies the condition 'NG(ch(P)) is p-nilpotent implies that G is p-nilpotent'. In this paper some properties on Gp-groups and some suffcient conditions for a group to be p-nilpotent are obtained.
