Colin D. Reid

most citedGroups acting on trees with Tits' independence property (P)

2 citations · 2 across the 2 of their papers we have counts for

collaborators

4 papers

math.GR2026★ 2 cited

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…

math.GR2026

Lattices determined by their commensurator

Adrien Le Boudec, Colin Reid

Let $I^$ be a finitely generated cocompact lattice of a totally disconnected locally compact group $G$ , and $C$ a dense subgroup of $G$ that contains and commensurates $I^$ . We stu…

math.GR2024

Rigid stabilizers and local prosolubility for boundary-transitive actions on trees

Colin D. Reid

Let $G$ be a group acting $2$ -transitively on the boundary of a locally finite tree, and exclude the situation (which is a genuine exception) where $G$ has both $\mathrm{P}Î\mathr…

math.GR2024

Multiple transitivity except for a system of imprimitivity

Colin D. Reid

Let $I^c ◯$ be a set equipped with an equivalence relation $\sim$ ; we refer to the equivalence classes as blocks of $I^c ◯$ . A permutation group $G \leq Sym (I^c ◯)$ is $k$ -by-block-…