Introduces Super Hayashi Quandles (SHQs) with distinct dividing profile lengths, proves they are Latin with profile depending only on second shortest length and cycle number, establishes hereditary subquandle property, and constructs infinitely many.
Brieskorn,Automorphic sets and braids and singularities, Contemp
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Super Hayashi Quandles
Introduces Super Hayashi Quandles (SHQs) with distinct dividing profile lengths, proves they are Latin with profile depending only on second shortest length and cycle number, establishes hereditary subquandle property, and constructs infinitely many.