38 citations · 108 across the 31 of their papers we have counts for
40 papers
Uncountably many local isomorphism types of compactly generated simple groups
Ilaria Castellano, Jorge Fariña-Asategui, Mikel Eguzki Garciarena +7
A major open question in the theory of locally compact groups is the following. Let be the class of non-discrete compactly generated totally disconnected locally comp…
Lattices determined by their commensurator
Adrien Le Boudec, Colin Reid
Let be a finitely generated cocompact lattice of a totally disconnected locally compact group , and a dense subgroup of that contains and commensurates . We study…
Rigid stabilizers and local prosolubility for boundary-transitive actions on trees
Colin D. Reid
Let be a group acting -transitively on the boundary of a locally finite tree, and exclude the situation (which is a genuine exception) where has both $\mathrm{P}Γ\mathrm…
Multiple transitivity except for a system of imprimitivity
Colin D. Reid
Let be a set equipped with an equivalence relation ; we refer to the equivalence classes as blocks of . A permutation group is -by-block-tra…
Locally normal subgroups and ends of locally compact Kac-Moody groups
Pierre-Emmanuel Caprace, Timothée Marquis, Colin D. Reid
A locally normal subgroup in a topological group is a subgroup whose normaliser is open. In this paper, we provide a detailed description of the large-scale structure of closed loc…
Growing trees from compact subgroups
Pierre-Emmanuel Caprace, Timothée Marquis, Colin D. Reid
We establish a new connection between local and large-scale structure in compactly generated totally disconnected locally compact (t.d.l.c.) groups , finding a sufficient condit…