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

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

2005-09-15

arxiv.org/abs/math/0509351v1

Mathematics

Group Theory

9 pages

Scientific paper

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.

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