[Sur les générateurs des groupes de Kac–Moody topologiques et discrets]
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.
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@article{CRMATH_2015__353_8_695_0,
author = {Capdeboscq, Inna},
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},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2015.03.009/}
}
TY - JOUR AU - Capdeboscq, Inna TI - On the generation of discrete and topological Kac–Moody groups JO - Comptes Rendus. Mathématique PY - 2015 SP - 695 EP - 699 VL - 353 IS - 8 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2015.03.009/ DO - 10.1016/j.crma.2015.03.009 LA - en ID - CRMATH_2015__353_8_695_0 ER -
%0 Journal Article %A Capdeboscq, Inna %T On the generation of discrete and topological Kac–Moody groups %J Comptes Rendus. Mathématique %D 2015 %P 695-699 %V 353 %N 8 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2015.03.009/ %R 10.1016/j.crma.2015.03.009 %G en %F CRMATH_2015__353_8_695_0
Capdeboscq, Inna. On the generation of discrete and topological Kac–Moody groups. Comptes Rendus. Mathématique, Tome 353 (2015) no. 8, pp. 695-699. doi : 10.1016/j.crma.2015.03.009. http://archive.numdam.org/articles/10.1016/j.crma.2015.03.009/
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