2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70210This 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, conferenceGroup Theory22F50; 22E20; 51E24; 53C24; 22E40; 17B67Kac-Moody groups as discrete groupstext