Give a one-sentence synopsis of the only if' part of Theorem 48.3. Data from Theorem 48.3: Let
Question:
Give a one-sentence synopsis of the "only if' part of Theorem 48.3.
Data from Theorem 48.3:
Let F be a field, and let α and β be algebraic over F with deg(α, F) = n. The map ψα.β :F(α) → F(β) defined by
for ci ∈ F is an isomorphism of F(α) onto F(β) if and only if a and are conjugate over F.
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