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

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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.
9 pages

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Group Theory, 20D60, 20E45

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http://salesiana.dossiersoluciones.com/handle/123456789/76358

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509351
 http://arxiv.org/abs/math/0509351

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arXiv