Complete description of good involutions of free quandles and twisted conjugation subquandles including Alexander quandles, plus enumeration for linear quandles up to order 23 via computer search.
Preprint, arXiv:2506.04437 [math.GT]
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For an Alexander quandle over a finite abelian group, the connected components of its Cayley graph are the cosets of the subgroup im(id - t).
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Good involutions of twisted conjugation subquandles and Alexander quandles
Complete description of good involutions of free quandles and twisted conjugation subquandles including Alexander quandles, plus enumeration for linear quandles up to order 23 via computer search.
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The Cayley graph of a quandle
For an Alexander quandle over a finite abelian group, the connected components of its Cayley graph are the cosets of the subgroup im(id - t).