The Character Tables of Paige's Sample Moufang Loops and Their Relationship to the Character Tables of Psl(2, q )

DOI10.1112/plms/s3-58.2.209zbMath0682.20050OpenAlexW2023533555MaRDI QIDQ4731381

Publication date: 1989

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-58.2.209

zbMATH Keywords

conjugacy classes Bose-Mesner algebra primitive idempotents quasigroup character tables commutative association scheme finite loop finite simple non-associative Moufang loops Paige's Moufang loops

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Other designs, configurations (05B30) Loops, quasigroups (20N05)

Related Items (9)

Okubo quasigroups ⋮ Diameter, covering index, covering radius and eigenvalues ⋮ Subschemes of some association schemes ⋮ Character tables of certain association schemes coming from finite unitary and symplectic groups ⋮ Character tables of association schemes of affine type ⋮ Generators for finite simple Moufang loops ⋮ On the character table of the association scheme \(Sp(4,q)/Sz(q)\) ⋮ The character table of the Hecke algebra \({\mathcal H}(GL_{2n}(\mathbb{F}_ q),Sp_{2n}(\mathbb{F}_ q))\) ⋮ Character tables of the association schemes of finite orthogonal groups acting on the nonisotropic points

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