activity
20122026
most citedConjugacy Growth and Conjugacy Width of Certain Branch Groups

5 citations · 12 across the 8 of their papers we have counts for

collaborators

10 papers

cs.CR2026

Recurrent Bipartite Graph Neural Networks for QC-MDPC Error Decoding in McEliece Cryptosystems

Parth Rajeshkumar Tandel, Elisabeth Fink

As the advent of large-scale quantum computing threatens classical encryption, Quasi-Cyclic Moderate Density Parity-Check (QC-MDPC) codes have emerged as a foundational element of…

cs.CR2026

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…

math.GR2017★ 3 cited

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…

math.GR2017

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…

math.MG2015★ 2 cited

Hyperbolicity via Geodesic Stability

Elisabeth Fink

A geodesic is Morse, for every there exists a such that any -quasi-geodesic connecting two points on stays -close to . The Mo…

math.GR2014★ 5 cited

Conjugacy Growth and Conjugacy Width of Certain Branch Groups

Elisabeth Fink

The conjugacy growth function counts the number of distinct conjugacy classes in a ball of radius . We give a lower bound for the conjugacy growth of certain branch groups, amon…

math.GR2014★ 1 cited

Palindromic words in simple groups

Elisabeth Fink, Andreas Thom

A palindrome is a word that reads the same left-to-right as right-to-left. We show that every simple group has a finite generating set , such that every element of it can be wri…

math.GR2014

Palindromic Width of Wreath Products

Elisabeth Fink

We show that the wreath product of any finitely generated group with has finite palindromic width. We also show that has finite pa…

math.GR2013★ 1 cited

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…

math.GR2012

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…