Kac-Moody groups as discrete groups

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This survey paper presents the discrete group viewpoint on Kac-Moody groups. Over finite fields, the latter groups are finitely generated; they act on new buildings enjoying remarkable negative curvature properties. The study of these groups is shared between proving results supporting the analogy with some $S$-arithmetic groups, and exhibiting properties showing that they are new groups.
15 pages, conference

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Group Theory, 22F50; 22E20; 51E24; 53C24; 22E40; 17B67

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http://salesiana.dossiersoluciones.com/handle/123456789/70210

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402300
 http://arxiv.org/abs/math/0402300

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arXiv