Comptes Rendus
no. 8
Group theory
On the generation of discrete and topological Kac–Moody groups
[Sur les générateurs des groupes de Kac–Moody topologiques et discrets]

Présenté par : the Editorial Board

Inna Capdeboscq1
1 Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK
Comptes Rendus. Mathématique, Volume 353 (2015) no. 8, pp. 695-699.

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.03.009
Inna Capdeboscq 1

1 Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK 
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Inna Capdeboscq. On the generation of discrete and topological Kac–Moody groups. Comptes Rendus. Mathématique, Volume 353 (2015) no. 8, pp. 695-699. doi : 10.1016/j.crma.2015.03.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.03.009/

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