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Comptes Rendus Mathématique
Volume 347, n° 23-24
pages 1347-1350 (décembre 2009)
Doi : 10.1016/j.crma.2009.10.024
Received : 10 August 2009 ;  accepted : 27 October 2009
Enumerating finite class-2-nilpotent groups on 2 generators
Énumération des groupes nilpotents de classe 2 engendrés par 2 générateurs
 

Christopher Voll
School of Mathematics, University of Southampton, University Road, Southampton SO17 1BJ, UK 

Abstract

We compute the numbers   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  . To cite this article: C. Voll, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.
Résumé

On calcule les nombres   de groupes nilpotents d’ordre n , de classe au plus 2, engendrés par au plus 2 générateurs, en donnant une formule explicite pour la fonction génératrice de Dirichlet  . Pour citer cet article : C. Voll, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.


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