Aut Q R is the identity group. Since every positive element of R is a square, it
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AutQR is the identity group. Since every positive element of R is a square, it follows that an automorphism of R sends positives to positives and hence that it preserves the order in R. Trap a given real number between suitable rational numbers.
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The statement is true Heres a proof Let R be the field of real numbers and let AutR be the group of ...View the full answer
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Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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