GENERALIZED KNOT GROUPS DISTINGUISH THE SQUARE AND GRANNY KNOTS (WITH AN APPENDIX BY DAVID SAVITT)

DOI10.1142/S0218216509007385zbMath1182.57011arXiv0706.1807OpenAlexW3104460839MaRDI QIDQ3398325

Christopher Tuffley

Publication date: 28 September 2009

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

Full work available at URL: https://arxiv.org/abs/0706.1807

zbMATH Keywords

projective special linear groupWirtinger presentationgeneralized knot groupgranny knotsquare knot

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Other groups related to topology or analysis (20F38)

Related Items (2)

Distinguishing the generalized knot groups of square and granny knot analogues ⋮ Link invariants derived from multiplexing of crossings

Cites Work

• Group invariants of links
• Representations of the braid group by automorphisms of groups, invariants of links, and Garside groups.
• ON GENERALIZED KNOT GROUPS
• THE 2-GENERALIZED KNOT GROUP DETERMINES THE KNOT
• A Group to Classify Knots

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