Cp-Groups and Some Results on the p-nilpotency

数学季刊 ›› 1996, Vol. 11 ›› Issue (3): 44-49.

C_p-Groups and Some Results on the p-nilpotency

Dept. of Math.,Guangxi University,Nanning,Guangxi,530004

收稿日期:1995-05-26 出版日期:1996-09-30 发布日期:2024-12-27
基金资助:
This research was supported by National Natural Scicnce Foundation of China and Foundation of Guangxi Education Committee.

C_p-Groups and Some Results on the p-nilpotency

Dept. of Math.,Guangxi University,Nanning,Guangxi,530004

Received:1995-05-26 Online:1996-09-30 Published:2024-12-27
Supported by:
This research was supported by National Natural Scicnce Foundation of China and Foundation of Guangxi Education Committee.

摘要/Abstract

摘要： Let P∈SylpG,ch(P) be any characteristic subgroup of P. A group C is called a C_p-group if G satisfies the condition "NG(ch(P)) is p-nilpotent implies that G is p-nilpotent". In this paper some properties on G_p-groups and some suffcient conditions for a group to be p-nilpotent are obtained.

关键词: p-nilpotent, C_p-groups, quasi-inner C_p-groups

Abstract: Let P∈SylpG,ch(P) be any characteristic subgroup of P. A group C is called a C_p-group if G satisfies the condition "NG(ch(P)) is p-nilpotent implies that G is p-nilpotent". In this paper some properties on G_p-groups and some suffcient conditions for a group to be p-nilpotent are obtained.

Key words: p-nilpotent, C_p-groups, quasi-inner C_p-groups

中图分类号:

O152

赵耀庆, 韦革, 李世余. C_p-Groups and Some Results on the p-nilpotency[J]. 数学季刊, 1996, 11(3): 44-49.

Zhao Yaoqinq, Wei Ge, Li Shiyu. C_p-Groups and Some Results on the p-nilpotency[J]. Chinese Quarterly Journal of Mathematics, 1996, 11(3): 44-49.

C_p-Groups and Some Results on the p-nilpotency

C_p-Groups and Some Results on the p-nilpotency

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