The lengths of 3-cocycles of the 7-dihedral and the octahedral quandles

2025/08/20 by Ayumu Inoue, Inoue, Ayumu
Engineering · Mathematics · #57K12 #57K45 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Mathematics and Applications #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2508.14612

openalex publication_date 2025/08/20 · openalex created_date 2025/10/16 · openalex updated_date 2026/07/28

Abstract

We determine the lengths of certain 3-cocycles of the 7-dihedral and the octahedral quandles. As a consequence, we show that both of the 2-twist-spun 5₂-knot and the 4-twist-spun trefoil have the triple point number eight.

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