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Preprint Number 977

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977. Quentin Brouette and Françoise Point
On Galois groups of strongly normal extensions
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Submission date: 18 December 2015.

Abstract:

[This is an improved version of a previous paper Differential Galois theory in the class of formally real differential fields (ArXiv1404:3338v1)]
We show that the differential Galois groups of strongly normal extensions, under the hypothesis that the subfield of constants has a model complete theory, are isomorphic to interpretable groups in the subfield of constants. We find a partial correspondence between intermediate extensions and interpretable subgroups of the subfield of constants. In the class of ordered differential fields, we obtain sharper results using elimination of imaginaries.

Mathematics Subject Classification: 03C60, 12H05

Keywords and phrases:

Full text arXiv 1512.05998: pdf, ps.


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