Sur les extensions de groupe de Galois Ã₄

C. Bachoc; S.-H. Kwon

Acta Arithmetica (1992)

  • Volume: 62, Issue: 1, page 1-10
  • ISSN: 0065-1036

How to cite

top

C. Bachoc, and S.-H. Kwon. "Sur les extensions de groupe de Galois Ã₄." Acta Arithmetica 62.1 (1992): 1-10. <http://eudml.org/doc/206477>.

@article{C1992,
author = {C. Bachoc, S.-H. Kwon},
journal = {Acta Arithmetica},
keywords = {alternating group; Galois embedding problem; Galois extensions; Galois group; octic fields; octic polynomials},
language = {fre},
number = {1},
pages = {1-10},
title = {Sur les extensions de groupe de Galois Ã₄},
url = {http://eudml.org/doc/206477},
volume = {62},
year = {1992},
}

TY - JOUR
AU - C. Bachoc
AU - S.-H. Kwon
TI - Sur les extensions de groupe de Galois Ã₄
JO - Acta Arithmetica
PY - 1992
VL - 62
IS - 1
SP - 1
EP - 10
LA - fre
KW - alternating group; Galois embedding problem; Galois extensions; Galois group; octic fields; octic polynomials
UR - http://eudml.org/doc/206477
ER -

References

top
  1. [B] S. Böge, Witt-Invariante und ein gewisses Einbettungsproblem, J. Reine Angew. Math. 410 (1990), 153-159. 
  2. [BPS] J. Buchman, M. Pohst and J. v. Schmettow, On the computation of unit groups and class groups of totally real quartic fields, Math. Comp. 52 (185) (1989), 161-174. 
  3. G. Butler and J. McKay, The transitive groups of degree up to eleven, Comm. Algebra 11 (8) (1983), 863-911 . Zbl0518.20003
  4. [C1] T. Crespo, Explicit construction of Ãₙ type fields, J. Algebra 127 (1989), 452-461. Zbl0704.11043
  5. [C2] T. Crespo, Embedding problems with ramification conditions, J. Number Theory, to appear. Zbl0648.12007
  6. [H-K] F.-P. Heider and P. Kolvenbach, The construction of Sl(2,3)-polynomials, J. Number Theory 19 (1984), 392-411. Zbl0566.12003
  7. [K] P. Kolvenbach, Zur algebraischen und arithmetischen Theorie der Sl(2,3)- Erweiterungen, Dissertation, Köln 1982. 
  8. [K1] S.-H. Kwon, Extensions à groupe de Galois A₄, Thèse, Univ. Bordeaux I, 1984. 
  9. [K2] S.-H. Kwon, Corps de nombres de degré 4 de type alterné, C. R. Acad. Sci. Paris 299 (2) (1984), 41-43. Zbl0564.12007
  10. [M] J. Martinet, Discriminants and permutation groups, dans : Number Theory, R. Mollin (éd.), Walter de Gruyter, Berlin 1990, 359-385. 
  11. [Sc] I. Schur, Über die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrochene lineare Substitutionen, J. Crelle 139 (1911), 155-250 (= Ges. Abh. I, 346-441). Zbl42.0154.02
  12. [S1] J.-P. Serre, L'invariant de Witt de la forme Tr(x²), Comment. Math. Helv. 59 (1984), 651-676 (= Oeuvres, Vol. III, 675-700). 
  13. [S3] J.-P. Serre, Corps locaux, 3e éd., Hermann, Paris 1980. 
  14. [S4] J.-P. Serre, Lettre à J. Martinet du 15/11/89. 
  15. [Sp] T. A. Springer, Sur les formes quadratiques d'indice zéro, C. R. Acad. Sci. Paris 244 (1952), 1517-1519. Zbl0046.24303
  16. [W] E. Witt, Konstruktion von galoisschen Körpern der Charakteristik p zu vorgegebener Gruppe der Ordnung p f , J. Reine Angew. Math. 174 (1936), 237-245. Zbl0013.19601

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.