Research describes good involutions in free quandles and twisted conjugation subquandles, suggesting new applications in algebraic structures.
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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Lực Ta (2026) studied this question.
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