Strong restrictions on the structure of a group $G$ can be given, once that it is known the probability that a randomly chosen pair of elements of a finite group $G$ commutes. Introducing the notion of mutually commuting n-tuples for compact groups (not necessary finite), the present paper generalizes the probability that a randomly chosen pair of elements of $G$ commutes. We shall state some results concerning this new concept of probability which has been recently treated in [3]. Furthermore a relation has been found between the notion of mutually commuting n-tuples and that of isoclinism between two arbitrary groups.
Erfanian, A., & Russo, F. (2009). Isoclinism in probability of commuting n-tuples. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 25, 27-36.
Data di pubblicazione: | 2009 | |
Titolo: | Isoclinism in probability of commuting n-tuples | |
Autori: | ||
Citazione: | Erfanian, A., & Russo, F. (2009). Isoclinism in probability of commuting n-tuples. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 25, 27-36. | |
Rivista: | ||
Settore Scientifico Disciplinare: | Settore MAT/02 - Algebra Settore MAT/03 - Geometria Settore MAT/05 - Analisi Matematica | |
Appare nelle tipologie: | 1.01 Articolo in rivista |