Enumerating finite class-2-nilpotent groups on 2 generators

Details Enumerating finite class-2-nilpotent groups on 2 generators Enumerating finite class-2-nilpotent groups on 2 generators

2009-08-10

arxiv.org/abs/0908.1355v2

Mathematics

Group Theory

5 pages. Minor revisions. To appear in C. R. Math. Acad. Sci. Paris

Scientific paper

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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