Algebraic realization of p-adically projective groups
Jarden, Moshe
Compositio Mathematica, Tome 80 (1991), p. 21-62 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1991-01-01
@article{CM_1991__79_1_21_0,
     author = {Jarden, Moshe},
     title = {Algebraic realization of $p$-adically projective groups},
     journal = {Compositio Mathematica},
     volume = {80},
     year = {1991},
     pages = {21-62},
     mrnumber = {1112279},
     zbl = {0737.12005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1991__79_1_21_0}
}

Jarden, Moshe. Algebraic realization of $p$-adically projective groups. Compositio Mathematica, Tome 80 (1991) pp. 21-62. http://gdmltest.u-ga.fr/item/CM_1991__79_1_21_0/

[A] J. Ax, The elementary theory of finite fields, Ann. Math. 88 (1968), 239-271. | MR 229613 | Zbl 0195.05701

[BNW] E. Binz, J. Neukirch and G.H. Wenzel, A subgroup theorem for free products of profinite groups, J. Algebra 19 (1971), 104-109. | MR 280598 | Zbl 0232.20052

[BS] J.L. Bell And A.B. Slomson, Models and Ultraproducts, North-Holland/American Elsevier, Amsterdam/New York, 1974. | Zbl 0179.31402

[D] L P.D. v.d. Dries, Model theory of fields, Thesis, Utrecht, 1978.

[DR] L P.D. v.d. Dries and P. Ribenboim, An application of Tarski's principle to absolute Galois groups of function fields, Queen's Mathematical Preprint No. 1984-8.

[EJ] I. Efrat and M. Jarden, Free pseudo p-adically closed field of finite corank, J. Algebra 133 (1990), 132-150. | MR 1063387 | Zbl 0727.12005

[F] M.D. Fried, Irreducibility results for separated variables equations, J. Pure and Applied Algebra 48 (1987), 9-22. | MR 915986 | Zbl 0646.13006

[FJ] M.D. Fried and M. Jarden, Field Arithmetic, Ergebnisse der Mathematik. III. 11, Springer, Heidelberg, 1986. | MR 868860 | Zbl 0625.12001

[G] W.-D. Geyer, Galois groups of intersections of local fields, Israel J. Math. 30 (1978), 382-396. | MR 506378 | Zbl 0383.12014

[GR] D. Gildenhuys and L. Ribes, A Kurosh subgroup theorem for free pro-C-products of pro-C-groups, Transactions of AMS 186 (1973), 309-329. | MR 340433 | Zbl 0282.20027

[Gr] C. Grob, Die Entscheidbarkeit der Theorie der maximalen pseudo p-adisch abgeschlossenen Körper, Dissertation, Konstanz, 1988. | Zbl 0786.12006

[H] D. Haran, On closed subgroups of free products of profinite groups, Proc. Lon. Math. Soc. (3) 55 (1987), 266-298. | MR 896222 | Zbl 0666.20015

[HJ1] D. Haran and M. Jarden, The absolute Galois group of a pseudo real closed field, Annali della Scuola Normale Superiore - Pisa, Serie IV, 12 (1985), 449-489. | Numdam | MR 837257 | Zbl 0595.12013

[HJ2] D. Haran and M. Jarden, Real free groups and the absolute Galois group of R(t), J. Pure Appl. Algebra 37 (1985), 155-165. | MR 796405 | Zbl 0577.12019

[HJ3] D. Haran and M. Jarden, The absolute Galois group of a pseudo real closed algebraic field, Pac. J. Math. 123 (1986), 55-69. | MR 834138 | Zbl 0595.12014

[HJ4] D. Haran and M. Jarden, The absolute Galois group of a pseudo p-adically closed field, J. für die reine und angewandte Math. 383 (1988), 147-206. | MR 921990 | Zbl 0652.12010

[HL] D. Haran and A. Lubotzky, Maximal abelian subgroups of free profinite groups, Mathematical proceeding of the Cambridge Philosophical Society 97 (1985), 51-55. | MR 764491 | Zbl 0562.20013

[HP] B. Heinemann And A. Prestel, Fields regularly closed with respect to finitely many valuations and orderings, Can. Math. Soc. Conf. Proc. 4 (1984), 297-336. | MR 776459 | Zbl 0555.12008

[HR] W. Herfort and L. Ribes, Torsion elements and centralizers in free products of profinite groups, J. für die reine und angewandte Math. 358 (1985), 155-161. | MR 797680 | Zbl 0549.20017

[J] M. Jarden, The algebraic nature of the elementary theory of PRC fields, manuscripta mathematicae 60 (1988), 463-475. | MR 933475 | Zbl 0675.12016

[JW] U. Jannsen und K. Wingberg, Die Struktur der absoluten Galoisgruppe p-adischer Zahlkörper, Inventiones mathematicae 70 (1982), 70-98. | MR 679774 | Zbl 0534.12010

[KN] W. Krull and J. Neukirch, Die Struktur der absoluten Galoisgruppe über dem Körper R(t), Math. Ann. 193 (1971), 197-209. | MR 289471 | Zbl 0236.12104

[L] S. Lang, Introduction to algebraic geometry, Interscience Publishers, New York, 1958. | MR 100591 | Zbl 0095.15301

[N1] J. Neukirch, Kennzeichnung der p-adischen und der endlichen algebraischen Zahlkörper, In. Math. 6 (1969), 296-314. | MR 244211 | Zbl 0192.40102

[N2] J. Neukirch, Freie Produkte pro-enlicher Gruppen und ihre Kohomologie, Arch. der. Math. 22 (1971), 337-357. | MR 347992 | Zbl 0254.20023

[P] A. Prestel, Pseudo real closed fields, Set theory and Model theory, Springer's Lecture Notes 872 (1981), 127-156, Springer. | MR 645909 | Zbl 0466.12018

[Po] F. Pop, Galoissche Kennzeichnung p-adisch abgeshlossener Körper, Dissertation, Heidelberg, 1987. | MR 965062 | Zbl 0638.12007

[PR] A. Prestel And P. Roquette, Formally p-adic fields, Lecture Notes in Mathematics 1050, Springer, Berlin, 1984. | MR 738076 | Zbl 0523.12016

[PZ] A. Prestel And M. Ziegler, Model theoretic methods in the theory of topological fields, J. für die reine und angewandte Math. 299/300 (1978), 318-341. | MR 491852 | Zbl 0367.12014

[R] L. Ribes, Introduction to profinite groups and Galois Cohomology, Queen's papers in Pure and Applied Maths 24, Queen's University, Kingston, 1970. | MR 260875 | Zbl 0221.12013

[Ri] P. Ribenboim, Théorie des valuations, Les Presses de l'Université de Montréal, Montréal, 1964. | MR 249425 | Zbl 0139.26201

[S] J.-P. Serre, Cohomologie Galoisienne, Lecture Notes in Maths. 5, Springer, Heidelberg, 1965. | MR 201444 | Zbl 0136.02801

[Sp] B. Schuppar, Elementare Aususagen zur Arithmetik und Galoistheorie von Funktionenkörpen, J. für die reine und angewandte Math. 313 (1980), 59-71. | MR 552463 | Zbl 0423.12015