ON A GENERALIZATION OF FERMAT'S LITTLE THEOREM

Abstract

We obtain a congruence type arithmetic relation on the set of all triples (G,H,P), where G is a finite group, H is a subgroup, and P is a representation of G by permutations. This relation becomes Fermat's Little Theorem in the case when G=Zp, H=1, and P is the regular representation of G.