# Enumerating finite class-2-nilpotent groups on 2 generators - Mathematics > Group Theory

Abstract: We compute the numbers gn,2,2 of nilpotent groups of order n, of class atmost 2 generated by at most 2 generators, by giving an explicit formula for theDirichlet generating function \sum {n=1}^\infty gn,2,2n^{-s}.

Author: Christopher Voll

Source: https://arxiv.org/