Geodesic
Some remarks on groups in which elements with the same \( p \)-power commute
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 10 (1999) no. 1, pp. 11-15.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

In this paper we characterize certain classes of groups \( G \) in which, from \( x^{p} = y^{p} \) (\( x, y \in G \), \( p \) a fixed prime), it follows that \( xy = yx \). Our results extend results previously obtained by other authors, in the finite case.
In questa Nota si caratterizzano alcune classi di gruppi \( G \) tali che da \( x^{p} = y^{p} \) (\( x, y \in G \), \( p \) primo fissato), segue \( xy = yx \). In particolare si estendono risultati precedentemente ottenuti da altri autori, nel caso finito. 
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Longobardi, Patrizia; Maj, Mercede. Some remarks on groups in which elements with the same \( p \)-power commute. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 10 (1999) no. 1, pp. 11-15. http://geodesic.mathdoc.fr/item/RLIN_1999_9_10_1_a1/

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