161 citations · 918 across the 69 of their papers we have counts for
7 papers · 2 filters
On embeddings into compactly generated groups
Pierre-Emmanuel Caprace, Yves Cornulier
We prove that there is a second countable locally compact group that does not embed as a closed subgroup in any compactly generated locally compact group, and discuss various relat…
On conjugacy separability of some Coxeter groups and parabolic-preserving automorphisms
Pierre-Emmanuel Caprace, Ashot Minasyan
We prove that even Coxeter groups, whose Coxeter diagrams contain no (4,4,2) triangles, are conjugacy separable. In particular, this applies to all right-angled Coxeter groups or w…
Automorphism groups of right-angled buildings: simplicity and local splittings
Pierre-Emmanuel Caprace
We show that the group of type-preserving automorphisms of any irreducible semi-regular thick right-angled building is abstractly simple. When the building is locally finite, this…
Simplicity of twin tree lattices with non-trivial commutation relations
Pierre-Emmanuel Caprace, Bertrand Remy
We prove a simplicity criterion for certain twin tree lattices. It applies to all rank two Kac-Moody groups over finite fields with non-trivial commutation relations, thereby yield…
Fixed points and amenability in non-positive curvature
Pierre-Emmanuel Caprace, Nicolas Monod
Consider a proper cocompact CAT(0) space X. We give a complete algebraic characterisation of amenable groups of isometries of X. For amenable discrete subgroups, an even narrower d…
Amenable hyperbolic groups
Pierre-Emmanuel Caprace, Yves de Cornulier, Nicolas Monod +1
We give a complete characterization of the locally compact groups that are non-elementary Gromov-hyperbolic and amenable. They coincide with the class of mapping tori of discrete o…