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# A Jordan-Hölder Theorem for Differential Algebraic Groups

@inproceedings{Cassidy2010AJT, title={A Jordan-H{\"o}lder Theorem for Differential Algebraic Groups}, author={Phyllis J. Cassidy and Michael F. Singer}, year={2010} }

- Published 2010

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.

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