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

Ayumu Inoue

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arXiv · 2508.14612

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

Ayumu Inoue

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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 $5_{2}$-knot and the 4-twist-spun trefoil have the triple point number eight.

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Ayumu Inoue. 2025-08-20. The lengths of 3-cocycles of the 7-dihedral and the octahedral quandles. https://arxiv.org/abs/2508.14612

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