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BURNSIDE GROUPS AND n-MOVES FOR LINKS.
- Source :
-
Proceedings of the American Mathematical Society . Aug2019, Vol. 147 Issue 8, p3595-3602. 8p. - Publication Year :
- 2019
-
Abstract
- M. K. Dabkowski and J. H. Przytycki introduced the nth Burnside group of a link, which is an invariant preserved by n-moves. Using this invariant, for an odd prime p, they proved that there are links which cannot be reduced to trivial links via p-moves. It is generally difficult to determine if pth Burnside groups associated to a link and the corresponding trivial link are isomorphic. In this paper, we give a necessary condition for the existence of such an isomorphism. Using this condition we give a simple proof for their results that concern p-move reducibility of links. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 147
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 137581931
- Full Text :
- https://doi.org/10.1090/proc/14470