Geodesic
Simplicity of Some Twin Tree Automorphism Groups with Trivial Commutation Relations
Canadian mathematical bulletin, Tome 57 (2014) no. 2, pp. 390-400

Voir la notice de l'article provenant de la source Cambridge University Press

We prove simplicity for incomplete rank 2 Kac—Moody groups over algebraic closures of finite fields with trivial commutation relations between root groups corresponding to prenilpotent pairs. We don't use the (yet unknown) simplicity of the corresponding finitely generated groups (i.e., when the ground field is finite). Nevertheless we use the fact that the latter groups are just infinite (modulo center).
DOI : 10.4153/CMB-2014-002-2
Mots-clés : 20G44, 20E42, 51E24, Kac–Moody group, twin tree, simplicity, root system, building 
Morita, Jun; Rémy, Bertrand. Simplicity of Some Twin Tree Automorphism Groups with Trivial Commutation Relations. Canadian mathematical bulletin, Tome 57 (2014) no. 2, pp. 390-400. doi: 10.4153/CMB-2014-002-2
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