27 citations · 31 across the 26 of their papers we have counts for
6 papers · 1 filter
Cremona groups over finite fields, Neretin groups, and non-positively curved cube complexes
Anthony Genevois, Anne Lonjou, Christian Urech
We show that plane Cremona groups over finite fields embed as dense subgroups into Neretin groups, i.e. groups of almost automorphisms of rooted trees. We also show that if the fin…
A note on morphisms to wreath products
Anthony Genevois, Romain Tessera
Given a morphism from a finitely presented group to a wreath product , we show that, if the image of is a sufficiently large subgroup, then $\ma…
Asymptotically rigid mapping class groups II: strand diagrams and nonpositive curvature
Anthony Genevois, Anne Lonjou, Christian Urech
In this article, we introduce a new family of groups, called Chambord groups and constructed from braided strand diagrams associated to specific semigroup presentations. It include…
Cyclic hyperbolicity in CAT(0) cube complexes
Anthony Genevois
It is known that a cocompact special group does not contain if and only if it is hyperbolic; and it does not contain $\mathbb{F}_2 \times \mathbb…
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…