5-Arc transitive cubic Cayley graphs on finite simple groups

Abstract

In this paper, we determine all connected 5-arc transitive cubic Cayley graphs on the alternating group A 47 ; there are only two such graphs (up to isomorphism). By earlier work of the authors, these are the only two non-normal connected cubic arc-transitive Cayley graphs for finite nonabelian simple groups, and so this paper completes the classification of such non-normal Cayley graphs.