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 AutKF is abelian. Every element of AutKF (except 1F) has infinite order.
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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
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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