Normal Edge-Transitive Cayley Graphs of Frobenius Groups
Combinatorics
2014-01-10 v1 Group Theory
Abstract
A Cayley Graph for a group is called normal edge-transitive if it admits an edge-transitive action of some subgroup of the Holomorph of (the normaliser of a regular copy of in ). We complete the classification of normal edge-transitive Cayley graphs of order a product of two primes by dealing with Cayley graphs for Frobenius groups of such orders. We determine the automorphism groups of these graphs, proving in particular that there is a unique vertex-primitive example, namely the flag graph of the Fano plane.
Keywords
Cite
@article{arxiv.1401.1883,
title = {Normal Edge-Transitive Cayley Graphs of Frobenius Groups},
author = {Brian P. Corr and Cheryl E. Praeger},
journal= {arXiv preprint arXiv:1401.1883},
year = {2014}
}