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arXiv · 2007.07137

Almost-simple affine difference algebraic groups

Michael Wibmer
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Abstract

Affine difference algebraic groups are a generalization of affine algebraic groups obtained by replacing algebraic equations with algebraic difference equations. We show that the isomorphism theorems from abstract group theory have meaningful analogs for these groups and we establish a Jordan-H\"{o}lder type theorem that allows us to decompose any affine difference algebraic group into almost-simple affine difference algebraic groups. We also characterize almost-simple affine difference algebraic groups via almost-simple affine algebraic groups.

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Michael Wibmer. 2020-07-12. Almost-simple affine difference algebraic groups. https://arxiv.org/abs/2007.07137

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