On the classification of quandles of low order

Abstract

Using the classification of transitive groups we classify indecomposable quandles of size <36. This classification is available in Rig, a GAP package for computations related to racks and quandles. As an application, the list of all indecomposable quandles of size <36 not of type D is computed.

8 pages, 3 tables. Final version. Accepted for publication in Journal of Knot Theory and Its Ramifications

References in corpus (3)

• Finite-dimensional pointed Hopf algebras with alternating groups are trivial
• Nichols algebras of group type with many quadratic relations
• Pointed Hopf algebras over the sporadic simple groups

Cited by in corpus (6)

• Quandle Colorings of Knots and Applications
• Connected Quandles Associated with Pointed Abelian Groups
• Quandle coloring and cocycle invariants of composite knots and abelian extensions
• Distributivity in Quandles and Quasigroups
• Higher Arity Self-Distributive Operations in Cascades and their Cohomology
• Positive quandle homology and its applications in knot theory