1 citations · 1 across the 6 of their papers we have counts for
6 papers
Virtual splittings of right-angled Artin groups
Oussama Bensaid, Anthony Genevois, Romain Tessera
In this article, we determine, given a finite graph and an integer , when a right-angled Artin group virtually splits over an abelian subgroup of rank . Mor…
Coarse separation and splittings in right-angled Artin groups
Oussama Bensaid, Anthony Genevois, Romain Tessera
In this article, we characterise geometrically when a right-angled Artin group splits over an abelian subgroup. More precisely, given a finite graph , we show that splits…
Coarse separation and splittings in hyperbolic groups
Oussama Bensaid, Anthony Genevois, Romain Tessera
We study coarse separation in one-ended hyperbolic groups from a quantitative point of view, focusing on the volume growth of separating subsets. We prove that a one-ended hyperbol…
Lamplighter-like geometry of groups
Anthony Genevois, Romain Tessera
In this article, we introduce halo products as a natural generalisation of wreath products. They also encompass lampshuffler groups and lampcloner grou…
Coarse separation and large-scale geometry of wreath products
Oussama Bensaid, Anthony Genevois, Romain Tessera
In this article, we introduce and study a natural notion of coarse separation for metric spaces, with an emphasis on coarse separation by subspaces of polynomial or subexponential…
Folding median graphs
Anthony Genevois, Yassine Guerch, Romain Tessera
Extending Stallings' foldings of trees, we show in this article that every parallel-preserving map between median graphs factors as an isometric embedding through a sequence of ele…