J un 2 00 5 On the Constructive Inverse Problem in Differential Galois Theory
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چکیده
We give sufficient conditions for a differential equation to have a given semisimple group as its Galois group. For any group G with G0 = G1 · . . . · Gr where each Gi is a simple group of type Al, Cl, Dl, E6 or E7, we construct a differential equation over C(x) having Galois group G.
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2 3 M ar 2 00 4 On the Constructive Inverse Problem in Differential Galois Theory Claude
We give sufficient conditions for a differential equation to have a given semisimple group as its Galois group. For any group G = H × G, H finite and G = ∏Gi where each Gi is SLni or Sp2ni , ni ≥ 2, we construct a differential equation over C(x) having Galois group G.
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We give sufficient conditions for a differential equation to have a given semisimple group as its Galois group. For any group G with G0 = G1 · . . . · Gr where each Gi is a simple group of type Al, Cl, Dl, E6 or E7, we construct a differential equation over C(x) having Galois group G.
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تاریخ انتشار 2005