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Orientably-Regular Maps on Twisted Linear Fractional Groups

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Isomorphisms, Symmetry and Computations in Algebraic Graph Theory (WAGT 2016)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 305))

Abstract

We present an enumeration of orientably-regular maps with automorphism group isomorphic to the twisted linear fractional group \(M(q^2)\) for any odd prime power q.

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Acknowledgements

The authors thank Marston Conder for independently checking our computational results displayed in Table 1 using the MAGMA package. The last two authors gratefully acknowledge the support of this work by the Slovak Research Grants APVV-15-0220, APVV-17-0428, VEGA 1/0142/17 and VEGA 1/0238/19.

Author information

Authors and Affiliations

  1. Open University, Milton Keynes, UK

    Grahame Erskine

  2. Slovak University of Technology, Bratislava, Slovakia

    Katarína Hriňáková

  3. Open University, UK, Slovak University of Technology, Bratislava, Slovakia

    Jozef Širáň

Authors
  1. Grahame Erskine
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  2. Katarína Hriňáková
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  3. Jozef Širáň
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Corresponding author

Correspondence to Jozef Širáň .

Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, University of Southampton, Southampton, UK

    Gareth A. Jones

  2. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia

    Ilia Ponomarenko

  3. Department of Mathematics and Statistics, The Open University, Milton Keynes, UK

    Jozef Širáň

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Erskine, G., Hriňáková, K., Širáň, J. (2020). Orientably-Regular Maps on Twisted Linear Fractional Groups. In: Jones, G., Ponomarenko, I., Širáň, J. (eds) Isomorphisms, Symmetry and Computations in Algebraic Graph Theory. WAGT 2016. Springer Proceedings in Mathematics & Statistics, vol 305. Springer, Cham. https://doi.org/10.1007/978-3-030-32808-5_1

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