2020/06/10 by Jedlička, Přemysl, Stanovský, David
#15A78 #20N02 #57M27 #FOS: Mathematics #Group Theory (math.GR)
paper · doi:10.48550/arxiv.2006.05946
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.