Let F( 1 , , n ) be an extension field of F Show that any automorphism of F( 1 , , n ) leaving F fixed is completely determined by then values ( i ) ...

We proceed by induction on n For n 1 Corollary 485 shows that is completely determined by 1 which mu ...

Let F( 1 , , n ) be an extension field of F. Show that

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Let F(α₁, · · ·,α_n) be an extension field of F. Show that any automorphism σ of F(α₁, · · ·,α_n) leaving F fixed is completely determined by then values σ(α_i).

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A First Course In Abstract Algebra

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7th Edition

Authors: John Fraleigh

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Question Posted: Jan 16, 2023 02:50 AM

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Let F( 1 , , n ) be an extension field of F. Show that

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We proceed by induction on n For n 1 Corollary 485 shows that is completely determined by 1 which mu...View the full answer

A First Course In Abstract Algebra

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