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Burnside obstructions to the Montesinos-Nakanishi 3-move conjecture | | Mieczyslaw K Dabkowski
; Jozef H Przytycki
; | | Date: |
5 May 2002 | | Journal: | Geom. Topol. 6(2002) 355-360 | | Subject: | Geometric Topology MSC-class: 57M27, 20D99 | math.GT | | Abstract: | 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. | | Source: | arXiv, math.GT/0205040 | | Services: | Forum | Review | PDF | Favorites | |
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