Right division in groups, Dedekind-Frobenius group matrices, and Ward quasigroups.

DOI10.1007/BF02942039zbMath1104.20063arXivmath/0701716MaRDI QIDQ2581047

Petr Vojtěchovský, Kenneth W. Johnson

Publication date: 10 January 2006

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701716

zbMATH Keywords

identitiesmultiplication tablesCayley tablesblock circulant matricesgroup matricesgroup determinantsWard quasigroups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Loops, quasigroups (20N05) Canonical forms, reductions, classification (15A21) Axiomatics and elementary properties of groups (20A05)

Related Items (2)

Unnamed Item ⋮ Idempotent solutions of the Yang–Baxter equation and twisted group division

Cites Work

• The smallest Moufang loop revisited.
• Is computing with the finite Fourier transform pure or applied mathematics?
• On the group determinant
• Moufang loops of small order
• On the Postulates Defining a Group
• The Inverse Operation in Groups
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