Group Theory Seminar
The search for a k-geodetic group
Speaker: Murray Elder (University of Technology Sydney)Date: Thursday, 18 May 2023 - 11:30Place: Aula Gris 3, ICMAT
Abstract:
A graph is k-geodetic if there are at most k geodesic (length minimal) paths joining any two vertices. For example a tree is 1-geodetic.
I will describe some first steps to prove or disprove the existence of an infinite group having a finite generating set with respect to which its Cayley graph is k-geodetic for k>1.
This is joint work with Adam Piggott and Kane Townsend: https://arxiv.org/abs/2211.13397
