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Relatively projective groups as absolute Galois groups

Abstract:
By two well-known results, one of Ax, one of Lubotzky and van den Dries, a profinite group is projective iff it is isomorphic to the absolute Galois group of a pseudo-algebraically closed field. This paper gives an analogous characterization of relatively projective profinite groups as absolute Galois groups of regularly closed fields.
Publication status:
Published

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Publisher copy:
10.1007/BF02784528

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
ISRAEL JOURNAL OF MATHEMATICS
Volume:
127
Issue:
1
Pages:
93-129
Publication date:
2000-07-20
DOI:
EISSN:
1565-8511
ISSN:
0021-2172
Source identifiers:
20379
Language:
English
Keywords:
Pubs id:
pubs:20379
UUID:
uuid:e0dee459-ea7a-4b9c-a84f-f70d75dee977
Local pid:
pubs:20379
Deposit date:
2012-12-19

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