The second quandle homology of the Takasaki quandle of an odd abelian group is an exterior square of the group

Maciej Niebrzydowski, Jozef H. Przytycki

We prove that if G is an abelian group of odd order then there is an isomorphism from the second quandle homology of the Takasaki quandle of G to the exterior square of G. In parti…