Association schemes with at most two nonlinear irreducible characters and applications to finite groups

DOI10.1007/s10114-018-7072-3zbMath1411.05300arXiv1407.8496OpenAlexW2963281364WikidataQ128505600 ScholiaQ128505600MaRDI QIDQ1734947

Javad Bagherian

Publication date: 27 March 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.8496

zbMATH Keywords

multiplicityassociation schemecharacternonlinearfinite groupgroup-like scheme

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Ordinary representations and characters (20C15)

Cites Work

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• On \(p\)-covalenced association schemes
• Generalized Frobenius groups
• A wedge product of association schemes
• Clifford theory for association schemes
• Some conditions which almost characterize Frobenius groups.
• Character theory of finite groups
• Representations of association schemes and their factor schemes
• Irreducible representations of wreath products of association schemes
• Character products of association schemes.
• An algebraic approach to association schemes
• Nilpotent schemes and group-like schemes
• Commutative Standard Table Algebras with at Most One Nontrivial Multiplicity
• Characters of association schemes containing a strongly normal closed subset of prime index
• Finite Groups Having Only One Irreducible Representation of Degree Greater than One

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