FINITE GROUPS WITH THE MAXIMAL PERMUTIZER CONDITION

被引:6
|
作者
Qiao, Shouhong [1 ,2 ]
Qian, Guohua [3 ]
Wang, Yanming [4 ,5 ]
机构
[1] Guangdong Univ Technol, Sch Appl Math, Guangzhou 510006, Guangdong, Peoples R China
[2] Yunnan Univ, Sch Math & Stat, Kunming 650031, Yunnan, Peoples R China
[3] Changshu Inst Technol, Dept Math, Changshu 215500, Jiangsu, Peoples R China
[4] Sun Yat Sen Univ, Lingnan Coll, Guangzhou 510275, Guangdong, Peoples R China
[5] Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Guangdong, Peoples R China
关键词
Finite groups; supersolvable groups; the maximal permutizer condition; SUBGROUPS;
D O I
10.1142/S0219498812502179
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A group G is said to satisfy the maximal permutizer condition if the permutizer of any maximal subgroup M of G is equal to G. In this note, a characterization is given of finite groups which satisfy the maximal permutizer condition.
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页数:5
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