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arXiv · 0908.1355

Enumerating finite class-2-nilpotent groups on 2 generators

Christopher Voll
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Abstract

We compute the numbers g(n,2,2) of nilpotent groups of order n, of class at most 2 generated by at most 2 generators, by giving an explicit formula for the Dirichlet generating function \sum_{n=1}^\infty g(n,2,2)n^{-s}.

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Christopher Voll. 2009-11-04. Enumerating finite class-2-nilpotent groups on 2 generators. https://arxiv.org/abs/0908.1355

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