| Computing Galois Groups of Completely Reducible Differential Equations (1998) | |||||||||||||||
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| this paper, we will show that for differential equations whose Galois group is reductive, one can effectively present the corresponding Picard-Vessiot extension and from this presentation compute the Galois group. In (Compoint, 1996a; Compoint, 1996b), the first author showed that if a PicardVessiot extension has a reductive unimodular Galois group then the relations defining this extension come from the invariants of the Galois group. To be more specific, let k be a differential field of characteristic zero with algebraically closed field C of constants and let Y | |||||||||||||||
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