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math.GR2021★ 1 cited
Martin compactifications of affine buildings
Bertrand Rémy, Bartosz Trojan
We carry out an in-depth study of Martin compactifications of affine buildings, from the viewpoint of potential theory and random walks. This work does not use any group action on…
math.GR2012
Simplicity of some twin tree automorphism groups with trivial commutation relations
Jun Morita, Bertrand Rémy
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 prenilpo…
math.GR2005
Group-theoretic compactification of Bruhat-Tits buildings
Yves Guivarc'H, Bertrand Rémy
Let GF denote the rational points of a semisimple group G over a non-archimedean local field F, with Bruhat-Tits building X. This paper contains five main results. We prove a conve…