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Enumerating finite class-2-nilpotent groups on 2 generators

Voll, Christopher (2009) Enumerating finite class-2-nilpotent groups on 2 generators. Comptes Rendus Mathematique

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Description/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}.

Item Type:Article
Additional Information:4 pages
ISSN:1631-073 (print)
Uncontrolled Keywords:Enumeration of finite nilpotent groups
Related URLs:http://arxiv.org/abs/0908.1355
http://www.sciencedirect.com/s...l/1631073X
Subjects:Q Science > QA Mathematics
Divisions:University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
ePrint ID:69449
Deposited On:13 Nov 2009
Last Modified:01 Jun 2011 18:27

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