Vernitski, A and Tunsi, L and Ponchel, C and Lisitsa, A (2018) 'Dihedral semigroups, their defining relations and an application to describing knot semigroups of rational links.' Semigroup Forum, 97 (1). 75 - 86. ISSN 0037-1912
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Official URL: 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 |
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| 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 > Mathematical Sciences, Department of |
| Depositing User: | Elements |
| Date Deposited: | 15 Jan 2018 12:14 |
| Last Modified: | 04 Feb 2020 17:15 |
| URI: | http://repository.essex.ac.uk/id/eprint/21146 |
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