中心外同阶元素共轭的有限群
Finite groups in which elements of the same order outside the center are conjugate
摘要：
本文证明了：如果$G$是一个有限群，其中中心外的同阶元素是共轭的，则$G$是阿贝尔群或同构于3次对称群$S_3$.
英文摘要：
In this paper, we prove that if $G$ is a finite group in which elements of the same order outside the center are conjugate, then $G$ is abelian or is isomorphic to $S_3$, the symmetry group of degree 3.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
