ABSTRACT. Recentlythe first two authors have introduced a group invariant,called exterior degree, which is related to the number of elements x and y of a finitegroup Gsuchthat x∧y=1 inthe exteriorsquareG∧Gof G. Researchon ...

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 ...

The aim of this paper is to give a lower bound for h(2,PSp (2m, q)),

for all 2 ≤ m ≤ 5 , m ≥ 10 and q ≥ 2, where h(2,G) is the maximum

number such that G

h(2,G) can be generated by 2 elements. ...