New criteria for p-nilpotency of finite groups

被引：12
作者：
Miao, Long
Guo, Wenbin
Shum, K. P.
机构：
[1] Yangzhou Univ, Dept Math, Yangzhou 225002, Peoples R China
[2] Xuzhou Normal Univ, Dept Math, Xuzhou, Peoples R China
[3] Univ Sci & Technol China, Dept Math, Hefei, Peoples R China
[4] Chinese Univ Hong Kong, Fac Sci, Shatin, Hong Kong, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2007年 / 35卷 / 03期
基金：
中国国家自然科学基金;
关键词：
finite group; p-nilpotent group; p-nilpotent quotient-supplemented subgroup; Sylow subgroup;
D O I：
10.1080/00927870601117589
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We call a subgroup H of a group G p-nilpotent quotient-supplemented in G if there exists a subgroup K of G such that G = HK and K/K boolean AND H-G is p-nilpotent. By using this concept, we establish some new criteria for a group G to be p-nilpotent.
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页码：965 / 974
页数：10
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