Complemented subgroups and p-nilpotence in finite groups

被引：0
作者：
Shouhong Qiao
I. M. Isaacs
Yangming Li
机构：
[1] Guangdong University of Technology,School of Applied Mathematics
[2] University of Wisconsin,Department of Mathematics
[3] Guangdong University of Education,Department of Mathematics
来源：
Archiv der Mathematik | 2012年 / 98卷
关键词：
20D10; 20D20; Finite group; Complemented subgroup; -nilpotent group;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let p be the smallest prime divisor of the order of a finite group G. We find sufficient conditions for G to be p-nilpotent based on the existence of complements in G for p-subgroups of certain orders. In particular, we generalize a recent result of M. Asaad.
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页码：403 / 411
页数：8
相关论文
共 5 条
[1]  
Asaad M.(2010)Finite groups with certain subgroups of Sylow subgroups complemented J. Algebra 323 1958-1965
[2]  
Ballester-Bolinches A.(1999)On complemented subgroups of finite groups Arch. Math. 72 161-166
[3]  
Guo X.(1937)Complemented groups J. London Math. Soc. 12 201-204
[4]  
Hall P.(1977)On finite insoluble groups with nilpotent maximal subgroups J. Algebra 48 182-196
[5]  
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