English

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

Group Theory 2007-05-23 v1

Abstract

In this paper, we prove that if GG is a finite group in which elements of the same order outside the center are conjugate, then GG is abelian or is isomorphic to S3S_3, the symmetry group of degree 3.

Keywords

Cite

@article{arxiv.math/0509351,
  title  = {Finite groups in which elements of the same order outside the center are conjugate},
  author = {Guohua Qian and Wujie Shi and Xingzhong You},
  journal= {arXiv preprint arXiv:math/0509351},
  year   = {2007}
}

Comments

9 pages

R2 v1 2026-07-22T17:24:34.364Z