Gemma Crowe (University of Manchester) – Twisted conjugacy in dihedral Artin groups
- Date
- @ MALL, online, 15:00
- Location
- MALL, online
- Speaker
- Gemma Crowe
- Affiliation
- University of Manchester
- Category
- Algebra
Abstract - Dehn’s famous decision problems for finitely presented groups have been studied for over a century by combinatorial and geometric group theorists. In recent years, a variant of one of these classical problems, namely the twisted conjugacy problem, has been studied. The motivation for this problem comes from Bogopolski, Martino and Ventura who, in 2009, proved an equivalence between conjugacy in group extensions and twisted conjugacy.
In this talk I will give a brief survey of this lesser-known decision problem, and discuss some of the latest results in this area. This includes a framework which can be applied to dihedral Artin groups.