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\'{E}tale difference algebraic groups

Algebraic Geometry 2021-08-11 v1 Commutative Algebra Dynamical Systems

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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Cite

@article{arxiv.2108.04544,
  title  = {\'{E}tale difference algebraic groups},
  author = {Michael Wibmer},
  journal= {arXiv preprint arXiv:2108.04544},
  year   = {2021}
}

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45 pages