Table algebras and applications to products of characters in finite groups

DOI10.1016/0021-8693(91)90196-FzbMath0790.05097MaRDI QIDQ1174736

Elsa Fisman, Harvey I. Blau, Zvi Arad

Publication date: 25 June 1992

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

zbMATH Keywords

symplectic groupsfinite groupsassociation schemescharacter tables

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items

On normalized integral table algebras generated by a non-real faithful element of degree 2 with \(p\) linear elements ⋮ Semi-simple algebras and normality of closed subsets in standard table algebras ⋮ Normalized integral table algebras generated by a faithful real element of degree 2 and having 4 linear elements ⋮ Generalized table algebras ⋮ The product of all the irreducible characters of a finite simple group ⋮ A generalization of the Terwilliger algebra ⋮ Special Decompositions of Products in Table Algebras ⋮ On Homogeneous Standard Integral Table Algebras of Degree 4 ⋮ Semisimple commutative algebras with positive bases ⋮ Generalized hypergroups and orthogonal polynomials ⋮ Table algebras ⋮ Classification of Table Algebras with Two Basis Elements Whose Product Is a Linear Combination of Their Conjugates ⋮ Integral standard table algebras with a faithful nonreal element of degree 3 ⋮ The generalized Terwilliger algebra and its finite-dimensional modules when \(d=2\)

Cites Work

• Powers of characters of finite groups
• Blocks of defect zero in finite simple groups of Lie type
• On table algebras and applications to finite group theory
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