Link quandles are residually finite

Valeriy G. Bardakov; Mahender Singh; Manpreet Singh

doi:10.1007/s00605-019-01336-z

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arXiv · 1902.03082

Link quandles are residually finite

Valeriy G. Bardakov·Mahender Singh·Manpreet Singh

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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 [2] 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.

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BibTeX RIS

Valeriy G. Bardakov, Mahender Singh, Manpreet Singh. 2019-09-12. Link quandles are residually finite. https://doi.org/10.1007/s00605-019-01336-z

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