Q. (1) Prove that the set of automorphisms on a field \( k \) is always linearly independent.
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We need to prove that the set of automorphisms of a field \( k \) is linearly independent. An automorphism of a field \( k \) is a bijective homomorphism from the field to itself. The set of all such automorphisms forms a group under composition, known as the Show more…
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