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Paley and the Paley Graphs

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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

This paper discusses some aspects of the history of the Paley graphs and their automorphism groups.

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Acknowledgements

The author is grateful to Brian Alspach, Norman Biggs, Béla Bollobás, Andries Brouwer, Peter Cameron, Chris Godsil, Willem Haemers, Joshua Insley, Mikhail Muzychuk, Cheryl Praeger and Don Taylor for helpful comments, information and suggestions, and in particular to Mikhail Klin and Franz Lemmermeyer for their valuable advice on the extensive literature related to the Paley graphs and on the mathematical works of Gauss.

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Authors and Affiliations

  1. School of Mathematics, University of Southamton, Southampton, SO17 1BJ, UK

    Gareth A. Jones

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  1. Gareth A. Jones
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Correspondence to Gareth A. Jones .

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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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Jones, G.A. (2020). Paley and the Paley Graphs. 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_5

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