activity
20162026
most citedOuter automorphism groups of right-angled Coxeter groups are either large or virtually abelian

1 citations · 1 across the 4 of their papers we have counts for

collaborators

8 papers

math.GR2026

Conjugator length in finitely presented groups

Martin R. Bridson, Timothy R. Riley, Andrew W. Sale

The conjugator length function of a finitely generated group gives the minimal upper bound on the length of a conjugator for a pair of words that represent conjugate elements i…

math.GR2025

Conjugacy in a family of free-by-cyclic groups

Martin R. Bridson, Timothy R. Riley, Andrew W. Sale

We analyse the geometry and complexity of the conjugacy problem in a family of free-by-cyclic groups where the defining free-group automorphism is positi…

math.GR2020

On virtual indicability and property (T) for outer automorphism groups of RAAGs

Andrew Sale

We give a condition on the defining graph of a right-angled Artin group which implies its automorphism group is virtually indicable, that is, it has a finite-index subgroup that ad…

math.GR2019

Calculating the virtual cohomological dimension of the automorphism group of a RAAG

Matthew B. Day, Andrew W. Sale, Richard D. Wade

We describe an algorithm to find the virtual cohomological dimension of the automorphism group of a right-angled Artin group. The algorithm works in the relative setting; in partic…

math.GR2019

Outer automorphism groups of graph products: subgroups and quotients

Andrew Sale, Tim Susse

We show that the outer automorphism groups of graph products of finitely generated abelian groups satisfy the Tits alternative, are residually finite, their so-called Torelli subgr…

math.GR2017★ 1 cited

Outer automorphism groups of right-angled Coxeter groups are either large or virtually abelian

Andrew Sale, Tim Susse

We generalise the notion of a separating intersection of links (SIL) to give necessary and sufficient criteria on the defining graph of a right-angled Coxeter group so th…