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Constructing biquandles. (arXiv:1810.03027v1 [math.GR])
来源于:arXiv
We define biquandle structures on a given quandle, and show that any
biquandle is given by some biquandle structure on its underlying quandle. We
characterize all biquandles with a given underlying quandle. Using this
characterization, we obtain a relationship between the automorphism group of a
biquandle and the automorphism group of its underlying quandle. As an
application, we determine the automorphism groups of Alexander and dihedral
biquandles. We also define a biquandle structure on a direct product of two
quandles and describe the automorphism group of the biquandle thus obtained. 查看全文>>