A Jordan-Hoelder Theorem for Differential Algebraic Groups
Classical Analysis and ODEs
2010-10-11 v4 Analysis of PDEs
Group Theory
Abstract
We show that a differential algebraic group can be filtered by a finite subnormal series of differential algebraic groups such that successive quotients are almost simple, that is have no normal subgroups of the same type. We give a uniqueness result, prove several properties of almost simple groups and, in the ordinary differential case, classify almost simple linear differential algebraic groups.
Cite
@article{arxiv.1003.3274,
title = {A Jordan-Hoelder Theorem for Differential Algebraic Groups},
author = {Phyllis J. Cassidy and Michael F. Singer},
journal= {arXiv preprint arXiv:1003.3274},
year = {2010}
}
Comments
39 pages; typos corrected, and more detailed explanations added. This is the final version to be published in the Journal of Algebra