Abstract
We compute the Möbius function for the subgroup lattice of the simple Suzuki group Sz(q), and use it to enumerate regular objects such as maps, hypermaps, dessins d’enfants and surface coverings with automorphism groups isomorphic to Sz(q).
G.A. Jones announces with deep sadness that Martin Downs died on 16 May 2015.
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Acknowledgments
The authors are grateful to Dimitri Leemans for some very helpful comments on enumeration with Suzuki groups, and to Nikos Kanakis for help in preparing the TeX file.
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Downs, M., Jones, G.A. (2016). Möbius Inversion in Suzuki Groups and Enumeration of Regular Objects. In: Širáň, J., Jajcay, R. (eds) Symmetries in Graphs, Maps, and Polytopes. SIGMAP 2014. Springer Proceedings in Mathematics & Statistics, vol 159. Springer, Cham. https://doi.org/10.1007/978-3-319-30451-9_5
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DOI: https://doi.org/10.1007/978-3-319-30451-9_5
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