385 citations
- Newcastle UniversityGB60 papers
- Australian National UniversityAU25 papers
- The University of SydneyAU22 papers
- UNSW SydneyAU21 papers
- Commonwealth Scientific and Industrial Research OrganisationAU19 papers
- The University of MelbourneAU17 papers
- Center for Astrophysics Harvard & SmithsonianUS16 papers
- The University of QueenslandAU16 papers
- Uppsala UniversitySE16 papers
- National Astronomical Observatory of JapanJP15 papers
- Centre National de la Recherche ScientifiqueFR14 papers
- Max Planck Institute for AstronomyDE13 papers
35 papers · 1 filter
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…
Homomorphic Images of Locally Compact Groups Acting on Trees and Buildings
Max Carter, George A. Willis
We study analogues of Cartan decompositions of Lie groups for totally disconnected locally compact groups. It is shown using these decompositions that a large class of totally disc…
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…
Locally pro-p contraction groups are nilpotent
Helge Glockner, George A. Willis
The authors have shown previously that every locally pro-p contraction group decomposes into the direct product of a p-adic analytic factor and a torsion factor. It has long been k…
Discrete locally finite full groups of Cantor set homeomorphisms
Alejandra Garrido, Colin D. Reid
This work is motivated by the problem of finding locally compact group topologies for piecewise full groups (a.k.a.~ topological full groups). We determine that any piecewise full…
Decomposition Theorems for Automorphism Groups of Trees
Max Carter, George A. Willis
Motivated by the Bruhat and Cartan decompositions of general linear groups over local fields, double cosets of the group of label preserving automorphisms of a label-regular tree o…