Simple quandles

DOI10.1016/0021-8693(82)90305-2zbMath0514.20018OpenAlexW4210648216MaRDI QIDQ1051089

David Joyce

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90305-2

zbMATH Keywords

conjugacy classsimple groupinner automorphism groupsimple quandles

Mathematics Subject Classification ID

Abstract finite groups (20D99) Finite simple groups and their classification (20D05)

Related Items (25)

ON THE CLASSIFICATION OF QUANDLES OF LOW ORDER ⋮ Algebraic Properties of the Shift Mapping ⋮ Finite left distributive algebras with one generator ⋮ Free medial quandles ⋮ Connected quandles and transitive groups ⋮ Unnamed Item ⋮ Pointed Hopf algebras over the sporadic simple groups. ⋮ Subdirectly Irreducible Nonidempotent Left Distributive Left Quasigroups ⋮ From racks to pointed Hopf algebras ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Set-theoretic solutions of the Yang-Baxter equation, associated quadratic algebras and the minimality condition ⋮ Quandle identities and homology ⋮ Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type. I: Non-semisimple classes in \(\mathbf{PSL}_n(q)\). ⋮ Embeddings of quandles into groups ⋮ The structure of medial quandles ⋮ Principal and doubly homogeneous quandles ⋮ Commutator theory for racks and quandles ⋮ On the structure of Hom quandles ⋮ Finite-dimensional pointed Hopf algebras with alternating groups are trivial. ⋮ Subdirectly irreducible medial quandles ⋮ On connected quandles of prime power order ⋮ Detecting Unknots via Equational Reasoning, I: Exploration ⋮ Left-distributive idempotent algebras ⋮ Conjugacy Classes ofP-Cycles of Type D in Alternating Groups

Cites Work

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• A remark on simple symmetric sets
• A classifying invariant of knots, the knot quandle
• On symmetric structure of a finite set
• Simple symmetric sets and simple groups
• Simple Moufang loops
• The Jordan-Hölder Theorem for General Abstract Algebras

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