4 citations · 5 across the 4 of their papers we have counts for
4 papers · 1 filter
The geometry of surface-by-free groups
Benson Farb, Lee Mosher
We show that every word hyperbolic, surface-by-(noncyclic) free group Gamma is as rigid as possible: the quasi-isometry group of Gamma equals the abstract commensurator group Comm(…
On the asymptotic geometry of abelian-by-cyclic groups
Benson Farb, Lee Mosher
A finitely presented, torsion free, abelian-by-cyclic group can always be written as an ascending HNN extension Gamma_M of Z^n, determined by an n x n integer matrix M with det(M)…
Problems on the geometry of finitely generated solvable groups
Benson Farb, Lee Mosher
A survey of problems, conjectures, and theorems about quasi-isometric classification and rigidity for finitely generated solvable groups.
Harmonic Splittings of Surfaces
Benson Farb, Michael Wolf
We give a proof, using harmonic maps from disks to real trees, of Skora's theorem (Morgan-Otal (1993), Skora (1990), originally conjectured by Shalen): if G is the fundamental grou…