Enumerating finite racks, quandles and kei

zbMath1295.57013arXiv1203.6504MaRDI QIDQ396881

Simon R. Blackburn

Publication date: 14 August 2014

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.6504

zbMATH Keywords

asymptotic enumerationracksquandleskei

Mathematics Subject Classification ID

Asymptotic enumeration (05A16) Sets with a single binary operation (groupoids) (20N02)

Related Items (6)

Counting racks of order \(n\) ⋮ Enumeration of set-theoretic solutions to the Yang–Baxter equation ⋮ The construction of multipermutation solutions of the Yang-Baxter equation of level 2 ⋮ Indecomposable involutive solutions of the Yang-Baxter equation of multipermutation level 2 with non-abelian permutation group ⋮ Enumeration of racks and quandles up to isomorphism ⋮ The structure of medial quandles

Uses Software

• RiG

Cites Work

• A classifying invariant of knots, the knot quandle
• On the number of conjugacy classes of a finite group
• Real vectors for linear groups and the \(k(GV)\)-problem
• Enumerating finite groups of given order
• Symbolic computation with finite quandles
• Matrices and finite quandles
• ON THE CLASSIFICATION OF QUANDLES OF LOW ORDER
• RACKS AND LINKS IN CODIMENSION TWO
• The Number of Semigroups of Order n
• Bounding the number of conjugacy classes of a permutation group
• The congruence structure of racks
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