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Non-orientable Regular Maps of a Given Type over Linear Fractional Groups

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Abstract

It is known that for any given k and m such that 1/k + 1/m < 1/2 there exist infinitely many regular maps M of valence k and face length m on orientable surfaces such that the automorphism group of M is isomorphic to a linear fractional group over a finite field. We examine the pairs (k, m) for which this result can be extended to regular maps on non-orientable surfaces.

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Authors and Affiliations

  1. Open University, Milton Keynes, UK

    Jozef Širáň

  2. Slovak University of Technology, Bratislava, Slovakia

    Jozef Širáň

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  1. Jozef Širáň
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Correspondence to Jozef Širáň.

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Širáň, J. Non-orientable Regular Maps of a Given Type over Linear Fractional Groups. Graphs and Combinatorics 26, 597–602 (2010). https://doi.org/10.1007/s00373-010-0935-8

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