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Therefore Corollary 2.3 tells us that only the dihedral quandle is useful in Alexander quandles of prime order for the study of quandle cocycle invariants of 1-knots and 2-knots..
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Finally, as a corollary Theorem 4.7 and Proposition 4.9, we obtain the relative birational version of the Grothendieck Conjecture for smooth curves over subfields of finitely
