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arxiv: 2508.16772 · v1 · submitted 2025-08-22 · 🧮 math.GT · math.GR· math.QA

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Good involutions of twisted conjugation subquandles and Alexander quandles

Luc Ta

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classification 🧮 math.GT math.GRmath.QA
keywords quandlesalexandergoodinvolutionscompletelyconjugationsubquandlestwisted
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We completely describe good involutions of free quandles and subquandles of twisted conjugation quandles of groups, including all Alexander quandles. As an application, we enumerate good involutions of linear quandles, and we provide explicit mappings for those up to order 23 via a computer search. Along the way, we completely characterize connected, involutory Alexander quandles, which may be of independent interest.

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Cited by 1 Pith paper

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

  1. On the nonexistence of good involutions of symplectic quandles

    math.GT 2026-04 unverdicted novelty 5.0

    Good involutions do not exist on symplectic quandles defined on free R-modules equipped with antisymmetric bilinear forms.