Automorphism groups of Cayley maps (Q1322039)

Cayley maps are embeddings of Cayley graphs in orientable surfaces, with the same local orientation at every vertex. In this paper, conditions are given under which a Cayley map is regular or reflexible, together with algorithms for checking these conditions. It also contains the description of the automorphism group of an arbitrary Cayley map and focuses on the special case of \(k\)-balanced Cayley maps.