Twisting commutative algebraic groups

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Twisting Commutative Algebraic Groups

If V is a commutative algebraic group over a field k, O is a commutative ring that acts on V , and I is a finitely generated free O-module with a right action of the absolute Galois group of k, then there is a commutative algebraic group I ⊗O V over k, which is a twist of a power of V . These group varieties have applications to cryptography (in the cases of abelian varieties and algebraic tori...

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2007

ISSN: 0021-8693

DOI: 10.1016/j.jalgebra.2007.02.052