Knot quandle decomposition along a torus
Povzetek
We study the structure of the augmented fundamental quandle of a knot whose complement contains an incompressible torus. We obtain the relationship between the fundamental quandle of a satellite knot and the fundamental quandles/groups of its companion and pattern knots. General presentations of the fundamental quandles of a link in a solid torus, a link in a lens space and a satellite knot are described. In the last part of the paper, an algebraic approach to the study of affine quandles is presented and some known results about the Alexander module and quandle colorings are obtained.
Ključne besede
povečani temeljni kvantil;satelitski vozli;Aleksandrov kvandel;obarvanost kvandla;
Podatki
| Jezik: | Angleški jezik |
|---|---|
| Leto izida: | 2024 |
| Tipologija: | 1.01 - Izvirni znanstveni članek |
| Organizacija: | UL PEF - Pedagoška fakulteta |
| UDK: | 51 |
| COBISS: |
190537731
|
| ISSN: | 1793-6527 |
| Št. ogledov: | 34 |
| Št. prenosov: | 7 |
| Ocena: | 0 (0 glasov) |
| Metapodatki: |
|
Ostali podatki
| Sekundarni jezik: | Slovenski jezik |
|---|---|
| Sekundarne ključne besede: | Matematika; |
| Vrsta dela (COBISS): | Članek v reviji |
| Strani: | 27 str. (PDF) |
| Letnik: | ǂissue ǂ1 |
| Zvezek: | ǂart. ǂ2350098 |
| Čas izdaje: | 2024 |
| DOI: | 10.1142/S0218216523500980 |
| ID: | 23332604 |
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