Burnside groups and 𝑛-moves for links
| Autor: | Kodai Wada, Akira Yasuhara, Haruko A. Miyazawa |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Proceedings of the American Mathematical Society. 147:3595-3602 |
| ISSN: | 1088-6826 0002-9939 |
| DOI: | 10.1090/proc/14470 |
| Popis: | M. K. Da̧bkowski and J. H. Przytycki introduced the n n th Burnside group of a link, which is an invariant preserved by n n -moves. Using this invariant, for an odd prime p p , they proved that there are links which cannot be reduced to trivial links via p p -moves. It is generally difficult to determine if p p th 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 p -move reducibility of links. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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