39 citations · 46 across the 7 of their papers we have counts for
8 papers
Morse subgroups and boundaries of random right-angled Coxeter groups
Tim Susse
We study Morse subgroups and Morse boundaries of random right-angled Coxeter groups in the Erdős--Rényi model. We show that at densities below $\left(\sqrt{\frac{1}{2}}-ε\right)\sq…
Square percolation and the threshold for quadratic divergence in random right-angled Coxeter groups
Jason Behrstock, Victor Falgas-Ravry, Tim Susse
Given a graph , its auxiliary \emph{square-graph} is the graph whose vertices are the non-edges of and whose edges are the pairs of non-edges which induce a squ…
Automaticity for graphs of groups
Susan Hermiller, Derek F Holt, Tim Susse +1
In this article we construct asynchronous and sometimes synchronous automatic structures for amalgamated products and HNN extensions of groups that are strongly asynchronously (or…
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…
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…
Geometry of the word problem for 3-manifold groups
Mark Brittenham, Susan Hermiller, Tim Susse
We provide an algorithm to solve the word problem in all fundamental groups of closed 3-manifolds; in particular, we show that these groups are autostackable. This provides a commo…
On hierarchical hyperbolicity of cubical groups
Mark F Hagen, Tim Susse
Let X be a proper CAT(0) cube complex admitting a proper cocompact action by a group G. We give three conditions on the action, any one of which ensures that X has a factor system…
Stable Commutator Length in Amalgamated Free Products
Timothy Susse
We show that stable commutator length is rational on free products of free Abelian groups amalgamated over , a class of groups containing the fundamental groups of al…