The graphs of Hoffman-Singleton, Higman-Sims, and McLaughlin, and the Hermitian curve of degree 6 in characteristic 5
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Publication:2876036
zbMATH Open1296.05207arXiv1405.4643MaRDI QIDQ2876036
Publication date: 15 August 2014
Abstract: We construct the graphs of Hoffman-Singleton, Higman-Sims, and McLaughlin from certain relations on the set of non-singular conics totally tangent to the Hermitian curve of degree 6 in characteristic 5. We then interpret this geometric construction in terms of the subgroup structure of the automorphism group of this Hermitian curve.
Full work available at URL: https://arxiv.org/abs/1405.4643
Association schemes, strongly regular graphs (05E30) Planar graphs; geometric and topological aspects of graph theory (05C10)
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