- 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
- Publisher copy:
- 10.1007/BF02784528
-
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- Journal:
- ISRAEL JOURNAL OF MATHEMATICS
- Volume:
- 127
- Issue:
- 1
- Pages:
- 93-129
- Publication date:
- 2000-07-20
- DOI:
- EISSN:
-
1565-8511
- ISSN:
-
0021-2172
- URN:
-
uuid:e0dee459-ea7a-4b9c-a84f-f70d75dee977
- Source identifiers:
-
20379
- Local pid:
- pubs:20379
- Language:
- English
- Keywords:
- Copyright date:
- 2000
Journal article
Relatively projective groups as absolute Galois groups
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