Representation zeta function of a family of maximal class groups: Non-exceptional primes

We use a constructive method to obtain all but finitely many -local representation zeta functions of a family of finitely generated nilpotent groupsMnM_{n}with maximal nilpotency class. For representation dimensions coprime to all primesp<np<n, we construct all irreducible representations ofMnM_{n}by defining a standard form for the matrices of these representations.