Link quandles are residually finite

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DC Field	Value	Language
dc.contributor.author	Singh, Mahender	-
dc.contributor.author	Singh, Manpreet	-
dc.date.accessioned	2020-12-24T06:37:36Z	-
dc.date.available	2020-12-24T06:37:36Z	-
dc.date.issued	2020	-
dc.identifier.citation	Monatshefte fur Mathematik 191(4), pp. 679-690	en_US
dc.identifier.issn	10.1007/s00605-019-01336-z	-
dc.identifier.uri	https://link.springer.com/article/10.1007%2Fs00605-019-01336-z	-
dc.identifier.uri	http://hdl.handle.net/123456789/3350	-
dc.description.abstract	Residual 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.language.iso	en	en_US
dc.publisher	Springer Link	en_US
dc.subject	Free product	en_US
dc.subject	Free quandle	en_US
dc.subject	Irreducible 3-manifold	en_US
dc.subject	Link quandle	en_US
dc.title	Link quandles are residually finite	en_US
dc.type	Article	en_US
Appears in Collections:	Research Articles

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