Assume char K = 0 and let G be the subgroup of Aut K K(x) that is

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Assume char K = 0 and let G be the subgroup of Aut_KK(x) that is generated by the automorphism induced by x I→ x + 1_K. Then G is an infinite cyclic group. Determine the fixed field E of G. What is [K(x) : E]?

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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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Assume char K = 0 and let G be the subgroup of Aut K K(x) that is

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Let be an element of E Then is fixed under the action of the automorphism induced by x I x 1K That i...View the full answer

Algebra Graduate Texts In Mathematics 73

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