# Quotient Quandles and the Fundamental Latin Alexander Quandle

@article{Nelson2014QuotientQA, title={Quotient Quandles and the Fundamental Latin Alexander Quandle}, author={Sam Nelson and Sherilyn Tamagawa}, journal={arXiv: Geometric Topology}, year={2014} }

Defined by Joyce and Matveev, the fundamental quandle is a complete invariant of oriented classical knots. We consider invariants of knots defined from quotients of the fundamental quandle. In particular, we introduce the fundamental Latin Alexander quandle of a knot and consider its Gr\"obner basis-valued invariants, which generalize the Alexander polynomial. We show via example that the invariant is not determined by the generalized Alexander polynomial for virtual knots.

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