Association schemes in which the thin residue is an elementary abelian \(p\)-group of rank 2

DOI10.1016/j.jalgebra.2015.11.027zbMath1329.05311arXiv1505.02455OpenAlexW2963446020WikidataQ112881631 ScholiaQ112881631MaRDI QIDQ906867

Kijung Kim, Mitsugu Hirasaka

Publication date: 29 January 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02455

zbMATH Keywords

association schemelinear spacethin residueSchurian

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30)

Related Items (11)

A family of non-Schurian \(p\)-Schur rings over groups of order \(p^3\) ⋮ Schur rings and association schemes whose thin residues are thin ⋮ Investigations on association schemes with elementary abelian thin residue ⋮ On \(p\)-standard table algebras of order \(p^3\). II ⋮ Wreath products and projective system of non-Schurian association schemes ⋮ Possible indices for a class of association schemes with thin residue equal to the thin radical ⋮ Association schemes arising from table algebras ⋮ Two-valenced association schemes and the Desargues theorem ⋮ Rings arising from finite tight hypergroups ⋮ Schurity of association schemes whose thin residues are elementary abelian \(p\)-groups of rank 2 ⋮ On residually thin hypergroups

Cites Work

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• Characterization of \(p\)-valenced schemes of order \(p^2q\)
• Association schemes in which the thin residue is a finite cyclic group
• On meta-thin association schemes
• Classification of association schemes of small order
• An algebraic approach to association schemes
• On \(p\)-schemes of order \(p^3\)
• Theory of Association Schemes
• On quasi-thin association schemes

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