Proof that If K is finite and F is an algebraic closure of K, then Aut K

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Proof that If K is finite and F is an algebraic closure of K, then Aut_KF is abelian. Every element of Aut_KF (except 1_F) has infinite order.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 16, 2023 03:50 AM

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Proof that If K is finite and F is an algebraic closure of K, then Aut K

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First we will prove that AutKF is abelian Let and be two distinct automorphisms of F over K Since F ...View the full answer

Algebra Graduate Texts In Mathematics 73

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