Permutation representations of loops.

DOI10.1016/S0021-8693(03)00179-0zbMath1033.20078MaRDI QIDQ1399172

Jonathan D. H. Smith

Publication date: 30 July 2003

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

zbMATH Keywords

permutation representationsiterated function systemsfinite loopsfinite quasigroupsLagrange propertiesrepresentations of loops

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Loops, quasigroups (20N05)

Related Items (5)

Matched Pairs, Permutation Representations, and the Bol Property ⋮ The Burnside algebra of a quasigroup. ⋮ Unnamed Item ⋮ Burnside orders, Burnside algebras and partition lattices ⋮ Gyrogroup actions: a generalization of group actions

Cites Work

• Characters of finite quasigroups. II: Induced characters
• Quasigroup actions: Markov chains, pseudoinverses, and linear representations
• Speed's orbit problem: Variations on themes of Burnside
• On loops of odd order. II
• Nilpotence of finite Moufang 2-loops
• Lagrange's theorem for M\(_k\)-loops
• Minimum bases for permutation groups: The greedy approximation
• Endliche Gruppen I
• Quasigroups. II
• Quasigroup homogeneous spaces and linear representations
• Regular orbits in powers of permutation representations
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