Group Theory Seminar

The search for a k-geodetic group

Speaker:  Murray Elder (University of Technology Sydney)
Date:  Thursday, 18 May 2023 - 11:30
Place:  Aula Gris 3, ICMAT


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: