3 citations · 4 across the 5 of their papers we have counts for
5 papers
Learning the Word Problem: Geodesic Lengths and Cryptographic Applications
Elisabeth Fink
The Word Problem has been a subject of intensive mathematical study for over a century, initially driving advances in combinatorial group theory and more recently emerging as a fou…
Morse geodesics in torsion groups
Elisabeth Fink
In this paper we exhibit Morse geodesics, often called "hyperbolic directions", in infinite unbounded torsion groups. The groups studied are lacunary hyperbolic groups and construc…
Uniquely labelled geodesics of Coxeter groups
Elisabeth Fink, Kirill Zainoulline
Studying geodesics in Cayley graphs of groups has been a very active area of research over the last decades. We introduce the notion of a uniquely labelled geodesic, abbreviated wi…
On the finitely generated Hausdorff spectrum of spinal groups
Elisabeth Fink
We study the finitely generated Hausdorff spectrum of spinal automorphism groups acting on rooted trees. Given any , we construct a branch group such that h…
A finitely generated branch group of exponential growth without free subgroups
Elisabeth Fink
We will give an example of a branch group that has exponential growth but does not contain any non-abelian free subgroups. This answers question 16 from \cite{Bartholdi} positi…