The absolute Galois group of a pseudo real closed algebraic field (Q1077463)
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scientific article; zbMATH DE number 3957250
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The absolute Galois group of a pseudo real closed algebraic field |
scientific article; zbMATH DE number 3957250 |
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The absolute Galois group of a pseudo real closed algebraic field (English)
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1986
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The authors prove that if k is a countable formally real Hilbertian field and G is a real projective profinite group of rank \(\leq \aleph_ 0\), then there exists a prc-field K extending k algebraically such that the absolute Galois group G(K) of K is isomorphic to G. (For notations see the above review.)
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formally real Hilbertian field
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real projective profinite group
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absolute Galois group
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