On the vertex-to-edge duality between the Cayley graph and the coset geometry of von Dyck groups

Abstract

We prove that the Cayley graph and the coset geometry of the von Dyck group $D(a,b,c)$ are linked by a vertex-to-edge duality.

arXiv commentAccepted for publication on Mathematica Slovaca (23-10-2013); 12 pages, 7 figures; completely rewritten replacement of "On the free Burnside group as a factor of von Dyck group: a geometric perspective"