Principal and doubly homogeneous quandles

DOI10.1007/s00605-019-01334-1zbMath1481.20218arXiv1904.13388OpenAlexW2980009177WikidataQ127119262 ScholiaQ127119262MaRDI QIDQ1984755

Marco Bonatto

Publication date: 7 April 2020

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.13388

zbMATH Keywords

quandlesautomorphisms of quandlesleft-distributivity

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Sets with a single binary operation (groupoids) (20N02) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Related Items (9)

Connected quandles of size \(pq\) and \(4p\) ⋮ Homogeneous quandles arising from automorphisms of symmetric groups ⋮ Zero-divisors and idempotents in quandle rings ⋮ Superconnected left quasigroups and involutory quandles ⋮ Knot quandle decomposition along a torus ⋮ Quandles with orbit series conditions ⋮ Commutator theory for racks and quandles ⋮ On connected quandles of prime power order ⋮ Nonaffine latin quandles of order 2k

Uses Software

• RiG

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Subquandles of affine quandles
• Automorphism groups of Alexander quandles.
• Connected quandles and transitive groups
• Simple quandles
• A classifying invariant of knots, the knot quandle
• The primitive soluble permutation groups of degree less than 256
• From racks to pointed Hopf algebras
• Automorphism groups of quandles arising from groups
• Set-theoretical solutions to the quantum Yang-Baxter equation
• Commutator theory for racks and quandles
• On connected quandles of prime power order
• Quandles of cyclic type with several fixed points
• Doubly transitive groups and cyclic quandles
• Automorphism groups of quandles and related groups
• FINITE MODULES OVER ℤ[t, t^-1]
• Algebraic properties of quandle extensions and values of cocycle knot invariants
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• Finite Simple Abelian Algebras are Strictly Simple
• Computations of quandle 2-cocycle knot invariants without explicit 2-cocycles
• A guide to self-distributive quasigroups, or latin quandles
• A conjugacy class as a transversal in a finite group
• Indecomposable set-theoretical solutions to the quantum Yang-Baxter equation on a set with a prime number of elements

This page was built for publication: Principal and doubly homogeneous quandles