Limit groups are CAT(0)
We prove that every limit group acts geometrically on a CAT(0) space with the isolated flats property.
math.GR↗
arXiv subjects
Emina Alibegovic
Publications and source records attributed to Emina Alibegovic.
Makanin-Razborov diagrams for limit groups
We give a description of $Hom(G,L)$, where $L$ is a limit group (fully residually free group). We construct a finite diagram of groups, Makanin-Razborov diagram, that gives a convinient representation of all such homomorphisms.
math.GR↗
A Combination Theorem for Relatively Hyperbolic Groups
In this paper we give new requirements that a tree of $δ$-hyperbolic spaces has to satisfy in order to be $δ$-hyperbolic itself. As an application, we give a simple proof that limit groups are relatively hyperbolic.
math.GR↗
Translation lengths in Out(F_n)
We prove that all elements of infinite order in $Out(F_n)$ have positive translation lengths; moreover, they are bounded away from zero. Consequences include a new proof that solvable subgroups of $Out(F_n)$ are finitely generated and virtually abelian and the new result that such subgroups are quasi-convex.
math.GR↗