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On Core Quandles

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arxiv 2503.01790 v1 pith:7FB2J673 submitted 2025-03-03 math.GR

Filippo Spaggiari , Marco Bonatto This is my paper · ORCID
classification math.GR
keywords corequandlescharacterizepropertiesallowsanswerciteconnected
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We characterize several properties of core quandles in terms of the properties of their underlying groups. Specifically, we characterize connected cores providing an answer to an open question in \cite{saito} and present a standard homogeneous representation for them, which allows us to prove that simple core quandles are primitive.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Good involutions of conjugation subquandles

    math.GT 2025-05 accept novelty 7.0 of 10

    Good involutions of conjugation subquandles and core quandles are characterized by central-valued functions, with algorithms, enumeration data, new CNS-quandle families, and a category equivalence between racks and Le...

  2. On Simply Connected Quandles

    math.GR 2025-04 conditional novelty 7.0 of 10

    A finite quandle is simply connected exactly when it is principal and all prime-size abelian cocycles are trivial, which yields classifications for sizes p^2 and p^3.

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