Classification of Finite Subquandles in Spherical Quandles

2026/07/19 by Kentaro Yonemura, Naoki Nakamura
#math.AT

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Abstract

Every finite subquandle of a spherical quandle is accounted for by dihedral quandles and by quandles defined on root systems.

Citations

• A classifying invariant of knots, the knot quandle

Related

• Toward a classification of finite quandles
• Decomposition of the regular representation for dihedral quandles
• Quandle-like Structures From Groups
• Subquandles of free quandles
• Quandles with orbit series conditions