# Free quandles and knot quandles are residually finite

@article{Bardakov2019FreeQA,
title={Free quandles and knot quandles are residually finite},
author={Valeriy G. Bardakov and Mahender Singh and Manpreet Singh},
journal={Proceedings of the American Mathematical Society},
year={2019}
}
• Published 19 May 2018
• Mathematics
• Proceedings of the American Mathematical Society
In this note, residual finiteness of quandles is defined and investigated. It is proved that free quandles and knot quandles of tame knots are residually finite and Hopfian. Residual finiteness of quandles arising from residually finite groups (conjugation, core, and Alexander quandles) is established. Further, residual finiteness of automorphism groups of some residually finite quandles is also discussed.
7 Citations
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Monatshefte für Mathematik
• 2019
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
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