Biautomaticity of 2-dimensional Coxeter groups

Abstract: It is still an open problem whether or not Coxeter groups are biautomatic. A 2-dimensional Coxeter group is a Coxeter group whose finite parabolic subgroups are all dihedral groups. Damian Osajda, Piotr Przytycki, and I were able to prove that 2-dimensional Coxeter groups are biautomatic. In this talk, I will present the outline of our proof and some of the difficulties of generalizing it to other classes of Coxeter groups. The talk will be largely self-contained, although previous exposure to Coxeter groups and biautomaticity will of course be helpful.

group theorygeometric topologymetric geometry

Audience: researchers in the topic

McGill geometric group theory seminar