Mathematics – Geometric Topology
Scientific paper
2002-05-04
Geom. Topol. 6(2002) 355-360
Mathematics
Geometric Topology
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.
Dabkowski Mieczyslaw K.
Przytycki Jozef H.
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