The Radius and Automorphism Group of Hurwitz Graphs of Finite Coxeter Groups

Hurwitz graphs encode the braid group action on reduced factorizations of a prescribed element in a finite group. 

We will describe two fundamental graph invariants, the radius and the automorphism group, for Hurwitz graphs associated with finite Coxeter groups.

Part of a Ph.D. thesis written under the supervision of Ron Adin and Yuval Roichman. .