Étale difference algebraic groups

Abstract

Étale difference algebraic groups are a difference analog of étale algebraic groups. Our main result is a Jordan-Hölder type decomposition theorem for these groups. Roughly speaking, it shows that any étale difference algebraic group can be build up from simple étale algebraic groups and two finite étale difference algebraic groups. The simple étale algebraic groups occurring in this decomposition satisfy a certain uniqueness property.