(1) School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, E1 4NS London, United Kingdom
Abstract:
Let p be a prime, a finite p-group, any finite group with order divisible by p,and any action of on . We show that the cardinality of the set of all derivations with respect to this action is a multiple ofp. This generalises theorems of Frobenius and Hall.Received: 16 June 2003