Relatively projective groups as absolute Galois groups

Israel Journal of Mathematics

Volumn 127, Issue , 2002, Pages 93-129

  Koenigsmann, Jochen ^a  

^a UNIVERSITY OF KONSTANZ   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0142138092     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/BF02784528     Document Type: Article

References (21)

1. [A] J. Ax, The elementary theory of finite fields, Annals of Mathematics 88 (1968), 239-271.
2. [En] O. Endler, Valuation Theory, Springer, Berlin, 1972.
3. ζ-fields, in Proceedings of the III International Conference of Algebra, Krasnoyarsk 93, deGruyter, Berlin, 1996, pp. 63-80.
4. [Er2] Y. Ershov, Free products of absolute Galois groups, Doklady Mathematics 56(3) (1997), 915-917.
5. [Ge] W.-D. Geyer, Galois groups of intersections of local fields, Israel Journal of Mathematics 30 (1978), 382-396.
6. [Gr] K. W. Gruenberg, Protective profinite groups, Journal of the London Mathematical Society 42 (1967), 155-165.
7. [Ha] D. Haran, On closed subgroups of free products of profinite groups, Proceedings of the London Mathematical Society 55 (1987), 266-298.
8. [HaJ] D. Haran and M. Jarden, The absolute Galois group of a pseudo p-adically closed field, Journal für die reine und angewandte Mathematik 383 (1988), 147-206.
9. [Hs] H. Hasse, Existenz und Mannigfaltigkeit abelscher Algebren mit vorgegebener Galoisgruppe über einem Teilkörper des Grundkörpers I, Mathematische Nachrichten 1 (1948), 40-61.
10. [He] B. Heinemann, On finite intersections of 'henselian valued' fields, Manuscripta Mathematica 52 (1985), 37-61.
11. [HP] B. Heinemann and A. Prestel, Fields regularly closed with respect to finitely many valuations and orderings, Canadian Mathematical Society, Conference Proceedings 4 (1984), 297-336.
12. [J] M. Jarden, Infinite Galois theory, in Handbook of Algebra, Vol. 1 (M. Hazewinkel, ed.), North-Holland, Amsterdam, 1996.
13. [K] F. -V. Kuhlmann, Valuation theory of fields, abelian groups and modules, in Algebra, Logic and Applications (A. Macintyre and R. Göbel, eds.), Gordon and Breach, London, to appear.
14. [LvD] A. Lubotzky and L.v.d. Dries, Subgroups of free profinite groups and large subfields of Q̃, Israel Journal of Mathematics 39 (1981), 25-45.
15. [M] O. V. Mel'nikov, On free products of absolute Galois groups (1997, Russian), English transl, in Siberian Mathematical Journal 40(1) (1999), 95-99.
16. [M] O. V. Mel'nikov, On free products of absolute Galois groups (1997, Russian), English transl, in Siberian Mathematical Journal 40(1) (1999), 95-99.
17. [Po1] F. Pop, Classically protective groups and pseudo classically closed fields, Preprint, Mathematisches InstituØt, Heidelberg, 1990.
18. [Po2] F. Pop, Embedding problems over large fields, Annals of Mathematics 144 (1996), 1-34.
19. [PrC] S. Prieß-Crampe, Angeordnete Strukturen: Gruppen, Körper, projektive Ebenen, Ergebnisse der Mathematik 98, Springer, Berlin, 1983.
20. [Ri] P. Ribenboim, Théorie des valuations, Les Presses Univ., Montréal, 1968.
21. [Ru] R. Rumely, Undecidability and definability for the theory of global fields, Transactions of the American Mathematical Society 262 (1980), 195-217.