4 citations · 4 across the 2 of their papers we have counts for
4 papers
Convexity properties of Thompson's group F
Matthew Horak, Melanie Stein, Jennifer Taback
We prove that Thompson's group F is not minimally almost convex with respect to any generating set which is a subset of the standard infinite generating set for F and which contain…
Computing word length in alternate presentations of Thompson's group F
Matthew Horak, Melanie Stein, Jennifer Taback
We introduce a new method for computing the word length of an element of Thompson's group F with respect to a "consecutive" generating set of the form X_n={x_0,x_1,...,x_n}, which…
Partially ordered groups which act on oriented order trees
Matthew E. Horak, Melanie I. Stein
It is well known that a countable group admits a left-invariant total order if and only if it acts faithfully on R by orientation preserving homeomorphisms. Such group actions are…
Mapping class subgroups of Out(F_n)
Matthew Horak
We construct a covering of Culler-Vogtmann Outer space by the Teichmuller spaces of punctured surfaces. By considering the equivariant homology for the action of Out(F_n) on this c…