A finite simple group is CCA if and only if it has no element of order four
Group Theory
2017-03-24 v1 Combinatorics
Abstract
A Cayley graph for a group is CCA if every automorphism of the graph that preserves the edge-orbits under the regular representation of is an element of the normaliser of . A group is then said to be CCA if every connected Cayley graph on is CCA. We show that a finite simple group is CCA if and only if it has no element of order 4. We also show that "many" 2-groups are non-CCA.
Cite
@article{arxiv.1703.07905,
title = {A finite simple group is CCA if and only if it has no element of order four},
author = {Luke Morgan and Joy Morris and Gabriel Verret},
journal= {arXiv preprint arXiv:1703.07905},
year = {2017}
}