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Item Two theorems related to group schemes(2010-12) Jones, James Hunter, 1982-; Voloch, José Felipe; Helm, DavidAfter presenting some preliminary information, this paper presents two proofs regarding group schemes. The first relates the category of affine group schemes to the category of commutative Hopf algebras. The second shows that a commutative group scheme of finite order is in fact killed by its order.