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arXiv · 2108.04544

\'{E}tale difference algebraic groups

Michael Wibmer
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Abstract

\'{E}tale difference algebraic groups are a difference analog of \'{e}tale algebraic groups. Our main result is a Jordan-H\"{o}lder type decomposition theorem for these groups. Roughly speaking, it shows that any \'{e}tale difference algebraic group can be build up from simple \'{e}tale algebraic groups and two finite \'{e}tale difference algebraic groups. The simple \'{e}tale algebraic groups occurring in this decomposition satisfy a certain uniqueness property.

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Michael Wibmer. 2021-08-10. \'{E}tale difference algebraic groups. https://arxiv.org/abs/2108.04544

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