Linear Algebraic Groups as Parameterized Picard-Vessiot Galois Groups

Published 1 Aug 2011 in math.CA, math.AC, and math.GR | (1108.0406v1)

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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Authors (1)

Michael F Singer

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