Chinese Quarterly Journal of Mathematics ›› 1996, Vol. 11 ›› Issue (3): 44-49.

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Cp-Groups and Some Results on the p-nilpotency

  

  1. 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.

Abstract: 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.

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

CLC Number: