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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.
Finite groups in which elements of the same order outside the center are conjugate
【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.
【机 构】
：
School of Mathematics and Computing Science,Department of Mathematics
【出 处】
：
中国科学A辑
【发表日期】
：
2004年期
【基金项目】
：
the Natural Science Foundation of Jiangsu Province College and University;教育部高等学校博士学科点专项科研基金;国家自然科学基金
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