Linear algebraic groups as parameterized Picard–Vessiot Galois groups

نویسنده

  • Michael F. Singer
چکیده

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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تاریخ انتشار 2011