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Enumerating finite class-2-nilpotent groups on 2 generators

Enumerating finite class-2-nilpotent groups on 2 generators
Enumerating finite class-2-nilpotent groups on 2 generators
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}.
Enumeration of finite nilpotent groups
1631-073X
Voll, Christopher
b7bd2890-38ac-4e05-adb7-3b376916ff79
Voll, Christopher
b7bd2890-38ac-4e05-adb7-3b376916ff79

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

Record type: Article

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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More information

Submitted date: 10 August 2009
Accepted/In Press date: October 2009
Published date: October 2009
Additional Information: 4 pages
Keywords: Enumeration of finite nilpotent groups

Identifiers

Local EPrints ID: 69449
URI: http://eprints.soton.ac.uk/id/eprint/69449
ISSN: 1631-073X
PURE UUID: 06932e11-0283-4d62-b077-d91a0f52641d

Catalogue record

Date deposited: 13 Nov 2009
Last modified: 13 Mar 2024 19:33

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Contributors

Author: Christopher Voll

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