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... >> Mathematics >> Abstract Algebra >> Galois Group

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Galois Group

• Definition: Let L be an extension field of K, denoted L/K, and let G be the set of automorphisms of L/K, that is, the set of automorphisms sigma of L such that sigma(x)=x for every x in K, so that K is fixed. Then G is a group of transformations of L, called the Galois group of L/K.

  Source: http://mathworld.wolfram.com