5 papers · 1 filter
Relative free splitting and free factor complexes: An overview
Michael Handel, Lee Mosher
For any group and any free factor system~ of , the relative outer automorphism group acts naturally on the relative free splitting…
Relative Free Splitting Complexes II: Stable Translation Lengths and the Two Over All Theorem
Michael Handel, Lee Mosher
This is the second of a three part study of relative free splitting complexes , known from Part~I to be Gromov hyperbolic. Here and in~Part III we focu…
Relative free splitting and free factor complexes I: Hyperbolicity
Michael Handel, Lee Mosher
We study the large scale geometry of the relative free splitting complex and the relative free factor complex of the rank free group , relative to the choice of a free fac…
Relative Free Splitting Complexes III: Stable Translation Lengths and Filling Paths
Michael Handel, Lee Mosher
This is the last of a three part work about relative free splitting complexes and their actions by relative outer automorphism groups $\text{Out}(Î;…
The conjugacy problem for UPG elements of
Mark Feighn, Michael Handel
An element of the outer automorphism group $\Out(\f)$ of the rank free group is {\it polynomially growing} if the word lengths of conjugacy classes in $\f$ grow at m…