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Preprint Number 236
236. Phyllis Cassidy and Michael Singer
A Jordan-Hoelder Theorem for Differential Algebraic Groups
Submission date: 18 March 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.
Mathematics Subject Classification: 12H05, 35G35, 22E65
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