224 citations · 815 across the 39 of their papers we have counts for
6 papers · 1 filter
Non-nesting actions of Polish groups on real trees
Vincent Guirardel, Aleksander Ivanov
We prove that if a Polish G with a comeagre conjugacy class has a non-nesting action on an R-tree, then every element of G fixes a point.
JSJ decompositions: definitions, existence, uniqueness. I: The JSJ deformation space
Vincent Guirardel, Gilbert Levitt
This paper and its companion arXiv:1002.4564 have been replaced by arXiv:1602.05139. We give a general simple definition of JSJ decompositions by means of a universal maximality pr…
Twin building lattices do not have asymptotic cut-points
Pierre-Emmanuel Caprace, Francois Dahmani, Vincent Guirardel
We show that twin building lattices have linear divergence, which implies that all asymptotic cones are without cut-points.
No-splitting property and boundaries of random groups
François Dahmani, Vincent Guirardel, Piotr Przytycki
We prove that random groups in the Gromov density model, at any density, satisfy property (FA), i.e. they do not act non-trivially on trees. This implies that their Gromov boundari…
Computing equations for residually free groups
Vincent Guirardel, Gilbert Levitt
We show that there is no algorithm deciding whether the maximal residually free quotient of a given finitely presented group is finitely presentable or not. Given a finitely genera…
Foliations for solving equations in groups: free, virtually free, and hyperbolic groups
François Dahmani, Vincent Guirardel
We give an algorithm for solving equations and inequations with rational constraints in virtually free groups. Our algorithm is based on Rips classification of measured band comple…