Free quandles and knot quandles are residually finite

Bardakov, Valeriy; Singh, Mahender; Singh, Manpreet

doi:10.1090/proc/14488

Free quandles and knot quandles are residually finite
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by Valeriy G. Bardakov, Mahender Singh and Manpreet Singh PDF

Proc. Amer. Math. Soc. 147 (2019), 3621-3633 Request permission

Abstract:

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.

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