Some remarks on groups in which elements with the same $ p $-power commute

Longobardi, Patrizia; Maj, Mercede

Some remarks on groups in which elements with the same

p

-power commute

Longobardi, Patrizia ; Maj, Mercede

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 10 (1999), p. 11-15 / Harvested from Biblioteca Digitale Italiana di Matematica

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Abstract
Résumé

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 $x y = y x$ . 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 $x y = y x$ . In particolare si estendono risultati precedentemente ottenuti da altri autori, nel caso finito.

Publié le : 1999-03-01

MR 1768516 | Zbl 1008.20022

@article{RLIN_1999_9_10_1_11_0,
     author = {Patrizia Longobardi and Mercede Maj},
     title = {Some remarks on groups in which elements with the same \( p \)-power commute},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {10},
     year = {1999},
     pages = {11-15},
     zbl = {1008.20022},
     mrnumber = {1768516},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1999_9_10_1_11_0}
}

Longobardi, Patrizia; Maj, Mercede. Some remarks on groups in which elements with the same \( p \)-power commute. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 10 (1999) pp. 11-15. http://gdmltest.u-ga.fr/item/RLIN_1999_9_10_1_11_0/

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