161 citations · 918 across the 69 of their papers we have counts for
5 papers · 2 filters
Finite and infinite quotients of discrete and indiscrete groups
Pierre-Emmanuel Caprace
These notes are devoted to lattices in products of trees and related topics. They provide an introduction to the construction, by M. Burger and S. Mozes, of examples of such lattic…
A sixteen-relator presentation of an infinite hyperbolic Kazhdan group
Pierre-Emmanuel Caprace
We provide an explicit presentation of an infinite hyperbolic Kazhdan group with generators and relators of length at most . That group acts properly and cocompactly o…
Indicability, residual finiteness, and simple subquotients of groups acting on trees
Pierre-Emmanuel Caprace, Phillip Wesolek
We establish three independent results on groups acting on trees. The first implies that a compactly generated locally compact group which acts continuously on a locally finite tre…
Approximating simple locally compact groups by their dense locally compact subgroups
Pierre-Emmanuel Caprace, Colin D. Reid, Phillip Wesolek
The class, denoted by , of totally disconnected locally compact groups which are non-discrete, compactly generated, and topologically simple contains many compelling e…
On the residual and profinite closures of commensurated subgroups
Pierre-Emmanuel Caprace, Peter H. Kropholler, Colin D. Reid +1
The residual closure of a subgroup of a group is the intersection of all virtually normal subgroups of containing . We show that if is generated by finitely many…