• 03 Dec 2006 /  Uncategorized

    From PlanetMath :

    The Galois group

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    of a field extension Input: K/F is the group of all field automorphisms

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    of Input: K which fix Input: F (i.e.,

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    for all

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    ). The group operation is given by composition: for two automorphisms

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    , given by

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    and

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    , the product

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    is the composite of the two maps

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    .

    The Galois group of a polynomial

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    is defined to be the Galois group of the splitting field of Input: f(x) over Input: F.

    Posted by zig.wei @ 9:38 pm

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