Vernitski, Alexei and Tunsi, Laila and Ponchel, Colette and Lisitsa, Alexei (2018) Dihedral semigroups, their defining relations and an application to describing knot semigroups of rational links. Semigroup Forum, 97 (1). pp. 75-86. DOI https://doi.org/10.1007/s00233-018-9918-5
Vernitski, Alexei and Tunsi, Laila and Ponchel, Colette and Lisitsa, Alexei (2018) Dihedral semigroups, their defining relations and an application to describing knot semigroups of rational links. Semigroup Forum, 97 (1). pp. 75-86. DOI https://doi.org/10.1007/s00233-018-9918-5
Vernitski, Alexei and Tunsi, Laila and Ponchel, Colette and Lisitsa, Alexei (2018) Dihedral semigroups, their defining relations and an application to describing knot semigroups of rational links. Semigroup Forum, 97 (1). pp. 75-86. DOI https://doi.org/10.1007/s00233-018-9918-5
Abstract
It is known that a knot (link) is rational if and only if its π-orbifold group is dihedral. A semigroup version of this result has been formulated as a conjecture. Working towards proving the conjecture, we describe certain semigroups associated with twist links, clarify how these semigroups are related to dihedral groups and find defining relations of these semigroups.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Cancellative semigroup; Knot semigroup; Rational knot; 4-plat; π-orbifold group; Dihedral group |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 15 Jan 2018 12:14 |
| Last Modified: | 17 Aug 2023 17:27 |
| URI: | http://repository.essex.ac.uk/id/eprint/21146 |
Available files
Filename: twist_links_17_05_12.pdf