Valeriy G. Bardakov, Mahender Singh, Manpreet Singh
Published 2018-05-19Version 1
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.
Residual finiteness of fundamental $n$-quandles of links
A functor-valued extension of knot quandles
Some Problems on Knots, Braids, and Automorphism Groups
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