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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76358In 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 pagesGroup Theory20D60, 20E45Finite groups in which elements of the same order outside the center are conjugatetext