Almost-simple affine difference algebraic groups
Algebraic Geometry
2020-07-16 v1 Commutative Algebra
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.
Cite
@article{arxiv.2007.07137,
title = {Almost-simple affine difference algebraic groups},
author = {Michael Wibmer},
journal= {arXiv preprint arXiv:2007.07137},
year = {2020}
}
Comments
49 pages. This submission contains the results of Sections 7, 8, 10, 11.2, 12 of arXiv:1405.6603v1, which has been replaced by arXiv:1405.6603v2