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arXiv · 2308.10229

Coloring Torus Knots by Conjugation Quandles

Filippo Spaggiari
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Abstract

In the first part of this paper, we present general results concerning the colorability of torus knots using conjugation quandles over any abstract group. Subsequently, we offer a numerical characterization for the colorability of torus knots using conjugation quandles over some particular groups, such as the matrix groups $GL(2,q)$ and $SL(2,q)$, the dihedral group, and the symmetric group.

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Filippo Spaggiari. 2023-08-20. Coloring Torus Knots by Conjugation Quandles. https://arxiv.org/abs/2308.10229

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