161 citations · 918 across the 69 of their papers we have counts for
4 papers · 2 filters
Totally disconnected locally compact groups with a linear open subgroup
Pierre-Emmanuel Caprace, Thierry Stulemeijer
We describe the global structure of totally disconnected locally compact groups having a linear open compact subgroup. Among the applications, we show that if a non-discrete, compa…
Orthogonal forms of Kac--Moody groups are acylindrically hyperbolic
Pierre-Emmanuel Caprace, David Hume
We give sufficient conditions for a group acting on a geodesic metric space to be acylindrically hyperbolic and mention various applications to groups acting on CAT() spaces. We…
Boundary Moufang trees with abelian root groups of characteristic p
Pierre-Emmanuel Caprace, Matthias Grüninger
We prove that Moufang sets with abelian root groups arising at infinity of a locally finite tree all come from rank one simple algebraic groups over local fields.
Locally normal subgroups of totally disconnected groups. Part II: Compactly generated simple groups
Pierre-Emmanuel Caprace, Colin D. Reid, George A. Willis
We use the structure lattice, introduced in Part I, to undertake a systematic study of the class consisting of compactly generated, topologically simple, totally disco…