Dihedral semigroups, their defining relations and an application to describing knot semigroups of rational links

DOI10.1007/s00233-018-9918-5zbMath1436.57012OpenAlexW2789988707MaRDI QIDQ2413512

Laila Tunsi, Alexei Vernitski, Colette Ponchel, Alexej P. Lisitsa

Publication date: 14 September 2018

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: http://repository.essex.ac.uk/21146/1/twist_links_17_05_12.pdf

zbMATH Keywords

dihedral groupcancellative semigrouprational knot\(\pi \)-orbifold group4-platknot semigroup

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Topological methods in group theory (57M07) Fundamental group, presentations, free differential calculus (57M05) Knot theory (57K10)

Cites Work

• The \(\pi\)-orbifold group of a link
• Automated deduction in equational logic and cubic curves
• RACKS AND LINKS IN CODIMENSION TWO
• Automated Reasoning for Knot Semigroups and  $$\pi $$ π -orbifold Groups of Knots
• Detecting Unknots via Equational Reasoning, I: Exploration
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Dihedral semigroups, their defining relations and an application to describing knot semigroups of rational links