For cocommutative Hopf dialgebras the set-like rack is naturally isomorphic to the conjugation rack of the group-like digroup, and every finite generalized digroup arises as the group-like elements of its digroup algebra.
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Classification and structural description of simple involutive latin solutions to the Yang-Baxter equation with regular displacement group and nilpotent permutation group, including enumeration for size p^p.
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Cocommutative Hopf Dialgebras and Rack Combinatorics
For cocommutative Hopf dialgebras the set-like rack is naturally isomorphic to the conjugation rack of the group-like digroup, and every finite generalized digroup arises as the group-like elements of its digroup algebra.
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Involutive (simple) latin solutions of the Yang-Baxter equation and related (left) quasigroups
Classification and structural description of simple involutive latin solutions to the Yang-Baxter equation with regular displacement group and nilpotent permutation group, including enumeration for size p^p.