53 citations
- International Center for Transitional JusticeUS54 papers
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Showing 2009 · math.GRShow all
3 papers · 2 filters
math.GR2009
The monomorphism problem in free groups
Laura Ciobanu, Abderezak Ould Houcine
Let be a free group of finite rank. We say that the monomorphism problem in is decidable if for any two elements and in , there is an algorithm that determines w…
math.GR2009
Amenability of actions on the boundary of a building
Jean Lecureux
We prove that the action of the automorphism group of a building on its boundary is topologically amenable. The notion of boundary we use was defined in a previous paper \cite{CL}.…
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…