38 citations · 108 across the 31 of their papers we have counts for
4 papers · 1 filter
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…
The number of profinite groups with a specified Sylow subgrou
Colin D. Reid
Let be a finitely generated pro- group. Let $\Emb(S)$ be the class of profinite groups that have as a Sylow subgroup, and such that intersects non-trivially with…