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20052009
most citedRank one isometries of buildings and quasi-morphisms of Kac-Moody groups

7 citations · 7 across the 2 of their papers we have counts for

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math.GR2009

Combinatorial and group-theoretic compactifications of buildings

Pierre-Emmanuel Caprace, Jean Lecureux

Let X be a building of arbitrary type. A compactification of the set Res(X) of spherical residues of X is introduced. We prove that it coincides with the horofunction comp…

math.GR2008★ 7 cited

Rank one isometries of buildings and quasi-morphisms of Kac-Moody groups

Pierre-Emmanuel Caprace, Koji Fujiwara

Given an irreducible non-spherical non-affine (possibly non-proper) building , we give sufficient conditions for a group $G < \Aut(X)$ to admit an infinite-dimensional space of…

math.GR2005

Conjugacy of 2-spherical subgroups of Coxeter groups and parallel walls

Pierre-Emmanuel Caprace

Let (W,S) be a Coxeter system of finite rank (ie |S| is finite) and let A be the associated Coxeter (or Davis) complex. We study chains of pairwise parallel walls in A using Tits'…