14 citations · 19 across the 3 of their papers we have counts for
4 papers · 1 filter
Commensurability and separability of quasiconvex subgroups
Frederic Haglund
We show that two uniform lattices of a regular right-angled Fuchsian building are commensurable, provided the chamber is a polygon with at least six edges. We show that in an arbit…
Isometries of CAT(0) cube complexes are semi-simple
Frédéric Haglund
We show that an automorphism of an arbitrary CAT(0) cube complex either has a fixed point or preserves some combinatorial axis. It follows that when a group contains a distorted cy…
Kazhdan and Haagerup properties from the median viewpoint
Indira Chatterji, Cornelia Drutu, Frederic Haglund
We prove the existence of a close connection between spaces with measured walls and median metric spaces. We then relate properties (T) and Haagerup (a-T-menability) to actions on…
On geometric flats in the {} realization of Coxeter groups and Tits buildings
Pierre-Emmanuel Caprace, Frédéric Haglund
Given a complete CAT(0) space endowed with a geometric action of a group , it is known that if contains a free abelian group of rank , then contains a geometric f…