63 citations · 83 across the 4 of their papers we have counts for
5 papers · 1 filter
Actions of finitely generated groups on R-trees
Vincent Guirardel
We study actions of finitely generated groups on -trees under some stability hypotheses. We prove that either the group splits over some controlled subgroup (fixing an arc in…
Deformation spaces of trees
Vincent Guirardel, Gilbert Levitt
Let G be a finitely generated group. Two simplicial G-trees are said to be in the same deformation space if they have the same elliptic subgroups (if H fixes a point in one tree, i…
The outer space of a free product
Vincent Guirardel, Gilbert Levitt
We associate a contractible ``outer space'' to any free product of groups G=G_1*...*G_q. It equals Culler-Vogtmann space when G is free, McCullough-Miller space when no G_i is Z. O…
Core and intersection number for group actions on trees
Vincent Guirardel
We present the construction of some kind of "convex core" for the product of two actions of a group on -trees. This geometric construction allows to generalize and unify the…
Limit groups as limits of free groups: compactifying the set of free groups
Christophe Champetier, Vincent Guirardel
We give a topological framework for the study of Sela's limit groups: limit groups are limits of free groups in a compact space of marked groups. Many results get a natural interpr…