27 citations · 31 across the 10 of their papers we have counts for
22 papers
Cactus groups from the viewpoint of geometric group theory
Anthony Genevois
Cactus groups and their pure subgroups appear in various fields of mathematics and are currently attracting attention from diverse mathematical communities. They share similarities…
An introduction to diagram groups
Anthony Genevois
To every semigroup presentation and every baseword can be associated a diagram group , defined as the…
Translation lengths in crossing and contact graphs of (quasi-)median graphs
Anthony Genevois
Given a quasi-median graph , the crossing graph and the contact graph are natural hyperbolic models of . In this article, we show that the asymptotic translation le…
Asymptotic geometry of lamplighters over one-ended groups
Anthony Genevois, Romain Tessera
This article is dedicated to the asymptotic geometry of wreath products where is a finite group and a one-ended finitely…
Measure-scaling quasi-isometries
Anthony Genevois, Romain Tessera
A measure-scaling quasi-isometry between two connected graphs is a quasi-isometry that is quasi--to-one in a natural sense for some . For non-amenable graphs, all quasi-iso…
CAT(0) cube complexes with flat hyperplanes
Anthony Genevois
In this short note, we show that a group acting geometrically on a CAT(0) cube complex with virtually abelian hyperplane-stabilisers must decompose virtually as a free product of f…