Finite groups in which elements of the same order outside the center are conjugate

被引：0
作者：
Xing-zhong You
Guo-hua Qian
Wu-jie Shi
机构：
[1] Changsha University of Science and Technology,School of Mathematics and Computing Science
[2] Changshu Institute of Technology,Department of Mathematics
[3] Suzhou University,School of Mathematics
来源：
Science in China Series A: Mathematics | 2007年 / 50卷
关键词：
finite group; rational group; conjugacy class; 20D60; 20E45;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove that if G is a finite group in which the elements of the same order outside the center are conjugate, then either G is abelian or G ≅ S3.
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页码：1493 / 1500
页数：7
相关论文
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Seitz G. M.(1988)On Syskin problem of finite group (in Chinese) Sci China Ser A-Math 2 189-193
[3]  
Zhang J P(1976)Groups whose characters are rationally-valued J Algebra 40 280-299
[4]  
Gow R.(1991)Finite groups whose element orders are consecutive integers J Algebra 143 388-400
[5]  
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