On the fixed field of a generic automorphism (Q2760733)
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scientific article; zbMATH DE number 1682262
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the fixed field of a generic automorphism |
scientific article; zbMATH DE number 1682262 |
Statements
13 December 2001
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almost generic automorphism
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fixed subfield
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separably closed field
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Galois group
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stable field
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0.9578173
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0.92698836
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0.91205996
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0.9102874
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On the fixed field of a generic automorphism (English)
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The author defines the notion of an almost generic automorphism and studies the fixed subfields of such automorphisms.NEWLINENEWLINENEWLINEIn particular, the author proves that 1) each theory of fields has a model with almost generic automorphism; 2) the fixed subfield of such an automorphism, in the case of a separably closed field, is regularly closed and its Galois group is isomorphic to \(\widehat{\mathbb Z}\).
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