\(G\)-loops and permutation groups

DOI10.1006/jabr.1999.8006zbMath0944.20056OpenAlexW2012121187MaRDI QIDQ1818879

Kenneth Kunen

Publication date: 29 June 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8006

zbMATH Keywords

automorphism groupspseudo-automorphisms\(G\)-loopsloops of prime order

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Loops, quasigroups (20N05)

Related Items (10)

Holomorphy of Osborn loops ⋮ Ken Kunen: algebraist. ⋮ Classification of highly symmetrical translation loops of order \(2p\), \(p\) prime. ⋮ On three cryptographic identities in left universal Osborn loops ⋮ Loops with Abelian Inner Mapping Groups: An Application of Automated Deduction ⋮ Every diassociative A-loop is Moufang ⋮ Constructions of transitive Latin hypercubeatin hypercubes ⋮ Smooth loops and loop bundles ⋮ On Two Cryptographic Identities In Universal Osborn Loops ⋮ Rectangular quasigroups and rectangular loops.

Uses Software

• OTTER

Cites Work

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• The geometry of binary systems
• Primitive permutation groups containing an element of order p of small degree, p a prime
• Isotopy-isomorphy loops of prime order
• Loops with transitive automorphisms
• Appendix: The Magma language
• A Class of Loops Which are Isomorphic to all Loop Isotopes
• Quasidirect products of quasigroups
• Loops as Invariant Sections in Groups, and their Geometry
• The structure of conjugacy closed loops
• Principal Loop-Isotopes of Quasigroups
• A Class of Loops with the Isotopy-Isomorphy Property

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