The purpose of this paper i s to give a relati on b etween the notion of the commutativity

degr ee of a fini te gr oup G (denoted by d(G)) and that o f i s o cl i n i s m b etween G and

an extr a s p eci al p ...

In any finite group G, the commutativity degree of G (denoted

by d(G)) is the probability that two randomly chosen elements of G commute.

More generally, for every n ≥ 2 the nth commutativity degree

(denoted ...

We correlate the notion of n-isoclinismof finite groups, introduced by J. C. Bioch in 1976,with the

relative n-th nilpotency degree, recently studied in literature. We characterize also all the pairs which ...