Let Q be a (fixed) algebraic closure of Q and Q, Q. Let
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Let Q̅ be a (fixed) algebraic closure of Q and τ ϵ Q̅, τ ∉ Q. Let E be a subfield of Q̅ maximal with respect to the condition τ ϵ Q̅. Prove that every finite dimensional extension of E is cyclic.
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Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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