Given a differential field F and a linear algebraic group G over the constant field C of F, find a Picard-Vessiot extension of E of F with G(E/F)=G:(adsbygoogle = window.adsbygoogle || []).push({});

This isn't homework, just something I saw in a book that I was curious about. The author says that this can be shown but doesn't illustrate how. Can anyone help?

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# Picard-Vessiot Extension over a Differential Field?

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