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.
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Inna Capdeboscq 1
@article{CRMATH_2015__353_8_695_0, author = {Inna Capdeboscq}, title = {On the generation of discrete and topological {Kac{\textendash}Moody} groups}, journal = {Comptes Rendus. Math\'ematique}, pages = {695--699}, publisher = {Elsevier}, volume = {353}, number = {8}, year = {2015}, doi = {10.1016/j.crma.2015.03.009}, language = {en}, }
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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