Simplicity of some twin tree automorphism groups with trivial commutation relations
Group Theory
2012-11-20 v1
Abstract
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).
Keywords
Cite
@article{arxiv.1211.4373,
title = {Simplicity of some twin tree automorphism groups with trivial commutation relations},
author = {Jun Morita and Bertrand Rémy},
journal= {arXiv preprint arXiv:1211.4373},
year = {2012}
}
Comments
10 pages