Link quandles are residually finite

dc.contributor.authorSingh, Manpreet
dc.date.accessioned2020-11-28T04:57:57Z
dc.date.available2020-11-28T04:57:57Z
dc.date.issued2019
dc.description.abstractResidual finiteness is known to be an important property of groups appearing in combinatorial group theory and low dimensional topology. In a recent work (Bardakov et al. in Proc Am Math Soc 147:3621–3633, 2019. https://doi.org/10.1090/proc/14488) residual finiteness of quandles was introduced, and it was proved that free quandles and knot quandles are residually finite. In this paper, we extend these results and prove that free products of residually finite quandles are residually finite provided their associated groups are residually finite. As associated groups of link quandles are link groups, which are known to be residually finite, it follows that link quandles are residually finite.en_US
dc.identifier.citationMonatshefte fur Mathematik,191.en_US
dc.identifier.other10.1007/s00605-019-01336-z
dc.identifier.urihttps://link.springer.com/article/10.1007/s00605-019-01336-z?shared-article-renderer
dc.identifier.urihttp://hdl.handle.net/123456789/2358
dc.language.isoenen_US
dc.publisherSpringer Linken_US
dc.subjectPropertyen_US
dc.subjectImportanten_US
dc.subjectFinitenessen_US
dc.titleLink quandles are residually finiteen_US
dc.typeArticleen_US

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