Möbius Regular Maps of Order pq
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Möbius regular maps are surface embeddings of graphs with doubled edges such that (i) the automorphism group of the embedding acts regularly on flags and (ii) each doubled edge is a center of a Möbius band on the surface. In this paper, we classify Möbius regular maps of order pq for any two primes p and q, where p ≠ q.
KeywordsMöbius regular maps regular embedding permutation group
MR(2010) Subject Classification05C10 05C25 20B25
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The authors thank the referees for the helpful comments and suggestions.