On the isomorphism of certain primitive \(Q\)-polynomial not \(P\)-polynomial association schemes

DOI10.1016/j.jcta.2020.105332zbMath1448.05235arXiv2009.03159OpenAlexW3087456710MaRDI QIDQ2005204

Alessandro Siciliano, Giusy Monzillo

Publication date: 7 October 2020

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.03159

zbMATH Keywords

association schemefinite geometryhemisystem

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Combinatorial aspects of finite geometries (05B25) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Cites Work

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• New families of \(Q\)-polynomial association schemes
• Imprimitive cometric association schemes: constructions and analysis
• On semipartial geometries
• Semipartial geometries and generalized quadrangles of order \((r,r^2)\)
• Uniformity in association schemes and coherent configurations: cometric \(Q\)-antipodal schemes and linked systems
• Association schemes from the action of \(\text{PGL}(2,q)\) fixing a nonsingular conic in \(\text{PG}(2,q)\)
• On Some Maximal Subgroups of Unitary Groups
• Embedding of orthogonal Buekenhout-Metz unitals in the Desarguesian plane of order q^2
• On the geometry of Hermitian matrices of order three over finite fields

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