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arXiv · 2006.05946

Homomorphic images of affine quandles

Přemysl Jedlička·David Stanovský
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Abstract

We are interested in abstract conditions that characterize homomorphic images of affine quandles. Our main result is a two-fold characterization of this class: one by a property of the displacement group, the other one by a property of the corresponding affine mesh. As a consequence, we obtain efficient algorithms for recognizing homomorphic images of affine quandles, including an efficient explicit construction of the covering affine quandle.

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Přemysl Jedlička, David Stanovský. 2020-06-10. Homomorphic images of affine quandles. https://arxiv.org/abs/2006.05946

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