A classification of regular Cayley maps with trivial Cayley-core for dihedral groups

摘要

Let M = CM(G, X, p) be a regular Cayley map for the finite group G, and let Aut(+) (M) be the orientation-preserving automorphism group of M. Then G can be regarded as a subgroup of Aut(+) (M) in the sense that G acts on itself by left multiplication. The core of G in Aut(+) (M) is called the Cayley-core of M In this paper, the regular Cayley maps with trivial Cayleycore for dihedral groups are classified. This work is a partial result for our long term goal to classify all regular Cayley maps for dihedral groups. (C) 2015 Elsevier B.V. All rights reserved,