Groupes de Galois sur K ( T )

Pierre Dèbes

Journal de théorie des nombres de Bordeaux (1990)

  • Volume: 2, Issue: 2, page 229-243
  • ISSN: 1246-7405

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Dèbes, Pierre. "Groupes de Galois sur $K(T)$." Journal de théorie des nombres de Bordeaux 2.2 (1990): 229-243. <http://eudml.org/doc/93516>.

@article{Dèbes1990,
author = {Dèbes, Pierre},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {finite groups; rigidity; Hurwitz spaces; inverse Galois theory; function fields; Belyj-Fried-Matzat-Shih-Thompson},
language = {fre},
number = {2},
pages = {229-243},
publisher = {Université Bordeaux I},
title = {Groupes de Galois sur $K(T)$},
url = {http://eudml.org/doc/93516},
volume = {2},
year = {1990},
}

TY - JOUR
AU - Dèbes, Pierre
TI - Groupes de Galois sur $K(T)$
JO - Journal de théorie des nombres de Bordeaux
PY - 1990
PB - Université Bordeaux I
VL - 2
IS - 2
SP - 229
EP - 243
LA - fre
KW - finite groups; rigidity; Hurwitz spaces; inverse Galois theory; function fields; Belyj-Fried-Matzat-Shih-Thompson
UR - http://eudml.org/doc/93516
ER -

References

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  1. [BFr] R. Biggers and M. Fried, Moduli spaces of covers and the Hurwitz monodromy group, J. für die reine und angew. Math.335 (1982), 87-121. Zbl0484.14002MR667463
  2. [CP] J.H. Conway and R.A. Parker, On the Hurwitz number of arrays of group elements. Preprint 
  3. [DFr1] P. Dèbes and M. Fried, Arithmetic variation of fibers, J. für die reine und angew. Math400 (1990), 106-137. Zbl0699.14033
  4. [DFr2] P. Dèbes and M. Fried, Non rigid situations in constructive Galois theory. Preprint 
  5. [Fr1] M. Fried, Fields of definition of function fields and Hurwitz families, Groups as Galois groups, Comm. in Alg.,51 (1977), 17-82. Zbl0478.12006MR453746
  6. [Fr2] M. Fried, Arithmetic of 3 and 4 branch point covers, Séminaire de Théorie des Nombres Delange-Pisot-Poitou (1987-1988), Birkhauser. Zbl0729.12009
  7. [FrD] M. Fried and P. Dèbes, Rigidity and real residue class fields, Acta Arithmetica, 56 (1990). Zbl0667.14014MR1096344
  8. [FrJ] M. Fried and M. Jarden, Field Arithmetic, Springer, Ergebnisse 11 (1986). Zbl0625.12001MR868860
  9. [FrV] M. Fried and H. Volklein, The inverse Galois problem and rational points on moduli spaces,. Preprint. Zbl0763.12004MR1119950
  10. [Ha] D. Harbater, Galois covering of the arithmetic line, Proc. of the NY Number Thy. Conf. of 1985, LNM 1240, Springer. Zbl0627.12015MR894511
  11. [Hi] D. Hilbert, Uber die Irreduzibilität ganzer rationater Funktionen mit ganzahligen Koeffizienten, J. für die reine und angew. Math.110 (1892), 104-129; (=Gesammelte Afhandlungen, Springer-Verlag (1983) [réimpression Chelsea,1965], 2 n°18, 264-286. 
  12. [Hur] A. Hurwitz, Riemann'sche Flächen mit gegebenen Veizweigungspunkten, Mathematische Werke, Band I, 321-383. JFM23.0429.01
  13. [KN] A. Krull and J. Neukirch, Die Struktur der absoluten Galois gruppe über dem Körper R(T), Mathematische Annalen, 193 (1971), 197-209. Zbl0236.12104MR289471
  14. [Mal] B.H. Matzat, Konstruktive Galoistheorie, LNM 1284, Springer-Verlag. Zbl0634.12011MR1004467
  15. [Ma2] B.H. Matzat, Uber das Umkehrproblem der Galoisschen Theorie, Jber.d.Dt. Math.-Verein,90 (1988), 155-183. Zbl0662.12008MR988071
  16. [Ma3] B.H. Mazat, Zöpfe und Galoissche Gruppen,. Preprint. 
  17. [Se1] J.P. Serre, Points rationnels des courbes modulaires, Séminaire Bourbaki, 30ème année, 1977/78 n°511. Zbl0411.14005
  18. [Se2] J.P. Serre, Groupe de Galois sur Q, Séminaire Bourbaki, 1987/88 n°689. Zbl0684.12009MR992203
  19. [Se3] J.P. Serre, Topics in Galois theory, Course at Harvard University (Fall 1988), Notes written by Henri Darmon, preprint. Zbl0746.12001MR1162313
  20. [Sha] I.R. Shafarevich, Constructions of fields of algebraic numbers with given solvable Galois groupeIzv. Akad. Nauk SSSR18 (1954), 525-578(=Amer. Math. Transl.4(1956),185-237;=C.P. 139-191) Zbl0071.03307MR71469
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  22. [Shi1] K.y. Shih, p-division points on certain elliptic curves, Comp. Math.36 (1978), 113-129. Zbl0376.14010MR515041

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