Coloring torus knots by conjugation quandles

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: the matrix groups [Formula: see text] and [Formula: see text], the dihedral group, and the symmetric group.

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Publication Details

Journal
Journal of Knot Theory and Its Ramifications
Published
2025-05-02
DOI
https://doi.org/10.1142/s0218216525500415
Citations
1
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
4.09
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article

Coloring torus knots by conjugation quandles

Filippo Spaggiari
1 citations
Journal of Knot Theory and Its Ramifications
Geometric and Algebraic Topology
4.09
article

Coloring torus knots by conjugation quandles

Filippo Spaggiari
article en
1 citations

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: the matrix groups [Formula: see text] and [Formula: see text], the dihedral group, and the symmetric group.

Journal of Knot Theory and Its RamificationsVol. 34(09)
Charles University (CZ)
Openalex Percentile: Top 10%
Geometric and Algebraic Topology
4.09
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Coloring torus knots by conjugation quandles — Filippo Spaggiari · Journal of Knot Theory and Its Ramifications (2025) | TGRS Research Map | TGRS