Distinguishing the generalized knot groups of square and granny knot analogues

DOI10.1142/S0218216519500354zbMath1434.57001arXiv1810.07853OpenAlexW3102025203WikidataQ128308924 ScholiaQ128308924MaRDI QIDQ5377175

Howida Adel Alfran, Christopher Tuffley

Publication date: 23 May 2019

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.07853

zbMATH Keywords

knot invariantstorus knotswreath productgeneralized knot groupssquare and granny knot analogues

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Knot theory (57K10)

Cites Work

• Unnamed Item
• The classification of Wada-type representations of braid groups.
• Group invariants of links
• Representations of the braid group by automorphisms of groups, invariants of links, and Garside groups.
• GENERALIZED KNOT GROUPS DISTINGUISH THE SQUARE AND GRANNY KNOTS (WITH AN APPENDIX BY DAVID SAVITT)
• ON GENERALIZED KNOT GROUPS
• THE 2-GENERALIZED KNOT GROUP DETERMINES THE KNOT
• Knots are Determined by Their Complements
• Knots

This page was built for publication: Distinguishing the generalized knot groups of square and granny knot analogues