Let be an algebraic extension of a field , and let be an automorphism of leaving fixed. Let . Show that induces a permutation of the set of zeros of that are in .

Let . Then . So . So is a zero of .

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- January 9th 2010, 06:40 AMSamprasextension
Let be an algebraic extension of a field , and let be an automorphism of leaving fixed. Let . Show that induces a permutation of the set of zeros of that are in .

Let . Then . So . So is a zero of . - January 9th 2010, 07:26 PMNonCommAlg