All word pairs over two free generators that make every group a birack or biquandle are classified, and new union, product, holomorph, and covering constructions for biquandles are introduced with their automorphism groups.
Ashihara, Fundamental biquandles of ribbon 2-knots and ribbon torus-knots with isomorphic fundamental quandles, J
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General constructions of biquandles and their symmetries
All word pairs over two free generators that make every group a birack or biquandle are classified, and new union, product, holomorph, and covering constructions for biquandles are introduced with their automorphism groups.