Lethbridge Number Theory and Combinatorics Seminar: Brandon Fuller

An automorphism of a Cayley graph that preserves its natural edge-colouring is called colour-preserving. We study groups G with the property that every automorphism on every connected Cayley graph on G is the composition of a left-translation and a group automorphism. We call this class of groups CCA groups and we look at classifying which groups are not CCA. More precisely, we look at abelian groups, groups of odd order and direct or semidirect products of groups.