On uniquely geodesic graphs and groups

Abstract: Graph with a unique geodesic between any two points are a very natural object to define, but they remain a mysterious object. In this talk we will discuss new results about their classifications, and show that a group with a uniquely geodesic Cayley graph needs to be virtually free. This is joint work with Elder, Gardam, Piggott and Townsend.

Mathematics

Audience: researchers in the topic

ANTLR seminar

Series comments: This is the Algebra, Number Theory, Logic and Representation theory seminar.