Relatively projective groups as absolute Galois groups
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 Galo...
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| 格式: | Journal article |
| 语言: | English |
| 出版: |
2000
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| _version_ | 1826301076513488896 |
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| author | Koenigsmann, J |
| author_facet | Koenigsmann, J |
| author_sort | Koenigsmann, J |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T05:26:53Z |
| format | Journal article |
| id | oxford-uuid:e0dee459-ea7a-4b9c-a84f-f70d75dee977 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:26:53Z |
| publishDate | 2000 |
| record_format | dspace |
| spelling | oxford-uuid:e0dee459-ea7a-4b9c-a84f-f70d75dee9772022-03-27T09:50:23ZRelatively projective groups as absolute Galois groupsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e0dee459-ea7a-4b9c-a84f-f70d75dee977EnglishSymplectic Elements at Oxford2000Koenigsmann, JBy 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. |
| spellingShingle | Koenigsmann, J Relatively projective groups as absolute Galois groups |
| title | Relatively projective groups as absolute Galois groups |
| title_full | Relatively projective groups as absolute Galois groups |
| title_fullStr | Relatively projective groups as absolute Galois groups |
| title_full_unstemmed | Relatively projective groups as absolute Galois groups |
| title_short | Relatively projective groups as absolute Galois groups |
| title_sort | relatively projective groups as absolute galois groups |
| work_keys_str_mv | AT koenigsmannj relativelyprojectivegroupsasabsolutegaloisgroups |