161 citations · 918 across the 69 of their papers we have counts for
5 papers · 2 filters
Thickness, relative hyperbolicity, and randomness in Coxeter groups
Jason Behrstock, Mark F. Hagen, Alessandro Sisto +1
For right-angled Coxeter groups , we obtain a condition on that is necessary and sufficient to ensure that is thick and thus not relatively hyperbolic. We show that…
Relative amenability
Pierre-Emmanuel Caprace, Nicolas Monod
We introduce a relative fixed point property for subgroups of a locally compact group, which we call relative amenability. It is a priori weaker than amenability. We establish equi…
Limits of contraction groups and the Tits core
Pierre-Emmanuel Caprace, Colin D. Reid, George A. Willis
The Tits core G^+ of a totally disconnected locally compact group G is defined as the abstract subgroup generated by the closures of the contraction groups of all its elements. We…
Locally normal subgroups of totally disconnected groups. Part I: General theory
Pierre-Emmanuel Caprace, Colin D. Reid, George A. Willis
Let G be a totally disconnected, locally compact group. A closed subgroup of G is locally normal if its normaliser is open in G. We begin an investigation of the structure of the f…
Locally normal subgroups of simple locally compact groups
Pierre-Emmanuel Caprace, Colin D. Reid, George A. Willis
We announce various results concerning the structure of compactly generated simple locally compact groups. We introduce a local invariant, called the structure lattice, which consi…