Abstract
Starting from an imprimitive action of the group \({\text {PSL}}(2,q)\) we construct a series of the association schemes of rank 2r on \((q+1)r\) points, where r divides \(q-1\). By merging classes in these schemes we obtain several series of interesting schemes, among them P-polynomial schemes related to distance-regular graphs first described by Mathon, and non-commutative schemes of rank 6.
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Reichard, S. (2020). Tatra Schemes and Their Mergings. 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_8
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DOI: https://doi.org/10.1007/978-3-030-32808-5_8
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