Burnside obstructions to the Montesinos-Nakanishi 3-move conjecture

DOI10.2140/GT.2002.6.355zbMath1009.57013arXivmath/0205040OpenAlexW2080887812WikidataQ123237360 ScholiaQ123237360MaRDI QIDQ1865108

Józef H. Przytycki, Mieczysław K. Dabkowski

Publication date: 25 March 2003

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0205040

zbMATH Keywords

knotbranched coverlinkclasperskein modulelower central seriestanglebraidFox coloringBorromean ringsBurnside groupunknotting operationscore group\(3\)-moveassociated graded Lie ringMontesinos-Nakanishi conjecturerational move

Mathematics Subject Classification ID

Abstract finite groups (20D99)

Related Items (12)

On multiplying curves in the Kauffman bracket skein algebra of the thickened four-holed sphere ⋮ Derivatives with Alexander pairs for quandles ⋮ Delta-crossing number for knots ⋮ The Dabkowski-Sahi invariant and 4-moves for links ⋮ Invariants for trivalent tangles and handlebody-tangles ⋮ Milnor invariants, \(2n\)-moves and \(V^n\)-moves for welded string links ⋮ Burnside groups and 𝑛-moves for links ⋮ On Slavik Jablan’s work on 4-moves ⋮ Unknotting operations on knots and links ⋮ On core quandles of groups ⋮ Symplectic structure on colorings, Lagrangian tangles and Tits buildings ⋮ Classification of string links up to \(2n\)-moves and link-homotopy

Cites Work

• A classifying invariant of knots, the knot quandle
• RACKS AND LINKS IN CODIMENSION TWO
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