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arXiv · 1108.0406

Linear Algebraic Groups as Parameterized Picard-Vessiot Galois Groups

Michael F Singer
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Abstract

We show that a linear algebraic group is the Galois group of a parameterized Picard-Vessiot extension of k(x), x' = 1, for certain differential fields k, if and only if its identity component has no one dimensional quotient as a linear algebraic group.

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Michael F Singer. 2011-08-01. Linear Algebraic Groups as Parameterized Picard-Vessiot Galois Groups. https://arxiv.org/abs/1108.0406

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