Comptes Rendus
Group theory
On the generation of discrete and topological Kac–Moody groups
Comptes Rendus. Mathématique, Volume 353 (2015) no. 8, pp. 695-699.

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.

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.

Received:
Accepted:
Published online:
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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