On Finite Racks and Quandles

2004/12/24 by Pedro Lopes, Lopes, Pedro, Dennis Roseman +1 · 2 citations
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #math.GT

paper · pdf · doi:10.48550/arxiv.math/0412487

submitted to Comm. Algebra in September 2004

arxiv created 2004/12/24 · arxiv updated 2009/12/01

Abstract

We revisit finite racks and quandles using a perspective based on permutations which can aid in the understanding of the structure. As a consequence we recover old results and prove new ones. We also present and analyze several examples.

Cited by

• Burnside rings for racks and quandles
• Enumeration of virtual quandles up to isomorphism

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