A Jordan-Hoelder Theorem for Differential Algebraic Groups

Details A Jordan-Hoelder Theorem for Differential Algebraic Groups A Jordan-Hoelder Theorem for Differential Algebraic Groups

2010-03-16

arxiv.org/abs/1003.3274v4

Mathematics

Classical Analysis and ODEs

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

Scientific paper

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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