5 citations · 6 across the 3 of their papers we have counts for
6 papers
Unsolvability of the isomorphism problem for [free abelian]-by-free groups
Gilbert Levitt
The isomorphism problem for [free abelian]-by-free groups is unsolvable.
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…
Characterizing rigid simplicial actions on trees
Gilbert Levitt
We extend Forester's rigidity theorem so as to give a complete characterization of rigid group actions on trees (an action is rigid if it is the only reduced action in its deformat…
Automorphisms of free groups have asymptotically periodic dynamics
Gilbert Levitt, Martin Lustig
We show that every automorphism of a free group of finite rank has {\it asymptotically periodic} dynamics on and its boundary : there exists a pos…
Automorphisms of hyperbolic groups and graphs of groups
Gilbert Levitt
Using the canonical JSJ splitting, we describe the outer automorphism group $\Out(G)$ of a one-ended word hyperbolic group . In particular, we discuss to what extent $\Out(G)$ i…