Structures of commutative table algebras determined by their character tables and applications to finite groups

DOI10.1080/00927872.2017.1422259zbMath1387.20005OpenAlexW2791730225MaRDI QIDQ4641497

Bangteng Xu, Gang Chen

Publication date: 28 May 2018

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

Full work available at URL: https://doi.org/10.1080/00927872.2017.1422259

zbMATH Keywords

finite groupscharacter tablestable algebrasclosed subsetsgeneralized wreath productsdual \(C\)-algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Association schemes, strongly regular graphs (05E30) Ordinary representations and characters (20C15) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (5)

Generalized wreath products of table algebras determined by their character tables and applications to association schemes ⋮ Wedge-direct sums of table algebras and applications to association schemes. II ⋮ On structures of quasi-thin table algebras and applications to association schemes ⋮ Wedge-direct sums of table algebras and applications to association schemes, I ⋮ Wedge-direct sums of group algebras of finite groups

Cites Work

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• Irreducible characters of wreath products in reality-based algebras and applications to association schemes.
• Characterizations of wreath products of one-class association schemes
• On wreath products of \(C\)-algebras, table algebras, and association schemes.
• Characters of table algebras and applications to association schemes
• Terwilliger algebras of wreath products of one-class association schemes
• Table algebras
• Erratum: Quotient structures in \(C\)-algebras
• Generalized table algebras
• Morphisms and Functor ker_f in C-Algebras
• The Dual Morphisms inC-Algebras
• Table algebras with exactly one irreducible character whose degree and multiplicity are not equal
• Camina Triples

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