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Comptes Rendus Mathématique
Volume 353, n° 8
pages 695-699 (août 2015)
Doi : 10.1016/j.crma.2015.03.009
Received : 18 December 2014 ;  accepted : 9 Mars 2015
On the generation of discrete and topological Kac–Moody groups
Sur les générateurs des groupes de Kac–Moody topologiques et discrets
 

Inna Capdeboscq
 Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK 

Abstract

This article shows that discrete or topological Kac–Moody groups defined over finite fields are in many cases 2-generated. We provide explicit bounds on the minimal number of generators for arbitrary Kac–Moody groups.

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

On montre que les groupes de Kac–Moody topologiques ou discrets définis sur des corps finis sont 2-engendrés dans de nombreux cas. On exhibe ensuite des bornes explicites sur le nombre minimal de générateurs pour un groupe de Kac–Moody arbitraire.

The full text of this article is available in PDF format.
1  An existence of finite generating set of   can be derived directly from the original presentation of  .


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