27 citations · 46 across the 12 of their papers we have counts for
18 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…
An introduction to the local-to-global behaviour of groups acting on trees and the theory of local action diagrams
Colin D. Reid, Simon M. Smith
The primary tool for analysing groups acting on trees is Bass--Serre Theory. It is comprised of two parts: a decomposition result, in which an action is decomposed via a graph of g…
Groups acting on trees with Tits' independence property (P)
Colin D. Reid, Simon M. Smith
Local actions (actions of a vertex stabiliser on the neighbours of that vertex) have become an important approach to group actions on trees since J. Tits' introduction in 1970 of t…
The structure of primitive permutation groups with finite suborbits and t.d.l.c. groups admitting a compact open subgroup that is maximal
Simon M. Smith
This paper is about the structure of infinite primitive permutation groups and totally disconnected locally compact groups ("tdlc groups'"). The permutation groups we investigate a…
On symmetries of edge and vertex colourings of graphs
Florian Lehner, Simon M. Smith
Let and be edge or vertex colourings of a graph . We say that is less symmetric than if the stabiliser (in ) of is contained in the…
Distinguishing density and the Distinct Spheres Condition
Wilfried Imrich, Florian Lehner, Simon M. Smith
If a graph has distinguishing number 2, then there exists a partition of its vertex set into two parts, such that no nontrivial automorphism of fixes setwise the two parts.…