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Burnside groups and n-moves for links
by
Akira Yasuhara
Waseda University
Coauthors: Haruko A. Miyazawa (Tsuda University), Kodai Wada (Waseda University)
M. K. D abkowski 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 showed that there exist 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 existence of such an isomorphism. Using this condition we give a simple proof for their results that concern p-move reducibility of links.
Date received: October 18, 2018
Copyright © 2018 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbpq-07.