Simplicity of some twin tree automorphism groups with trivial commutation relations

Jun Morita; Bertrand Rémy

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arXiv · 1211.4373

Simplicity of some twin tree automorphism groups with trivial commutation relations

Jun Morita·Bertrand Rémy

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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).

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Jun Morita, Bertrand Rémy. 2012-11-19. Simplicity of some twin tree automorphism groups with trivial commutation relations. https://arxiv.org/abs/1211.4373

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