A Jordan-Hoelder Theorem for Differential Algebraic Groups

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.

39 pages; typos corrected, and more detailed explanations added. This is the final version to be published in the Journal of Algebra

Cited by in corpus (1)

• Calculating differential Galois groups of parametrized differential equations, with applications to hypertranscendence