Enumerating finite class-2-nilpotent groups on 2 generators
Group Theory
2009-11-04 v2
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}.
Keywords
Cite
@article{arxiv.0908.1355,
title = {Enumerating finite class-2-nilpotent groups on 2 generators},
author = {Christopher Voll},
journal= {arXiv preprint arXiv:0908.1355},
year = {2009}
}
Comments
5 pages. Minor revisions. To appear in C. R. Math. Acad. Sci. Paris