Burnside obstructions to the Montesinos-Nakanishi 3-move conjecture

Mathematics – Geometric Topology

Scientific paper

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Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper11.abs.html

Scientific paper

Yasutaka Nakanishi asked in 1981 whether a 3-move is an unknotting operation.
In Kirby's problem list, this question is called `The Montesinos-Nakanishi
3-move conjecture'. We define the n-th Burnside group of a link and use the 3rd
Burnside group to answer Nakanishi's question; ie, we show that some links
cannot be reduced to trivial links by 3-moves.

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