Nouveaux exemples d'extension relatives sans base normale

Jean Cougnard

Annales de la Faculté des sciences de Toulouse : Mathématiques (2001)

  • Volume: 10, Issue: 3, page 493-505
  • ISSN: 0240-2963

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Cougnard, Jean. "Nouveaux exemples d'extension relatives sans base normale." Annales de la Faculté des sciences de Toulouse : Mathématiques 10.3 (2001): 493-505. <http://eudml.org/doc/73554>.

@article{Cougnard2001,
author = {Cougnard, Jean},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {normal integral bases; resolvents; Gauss sums},
language = {fre},
number = {3},
pages = {493-505},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Nouveaux exemples d'extension relatives sans base normale},
url = {http://eudml.org/doc/73554},
volume = {10},
year = {2001},
}

TY - JOUR
AU - Cougnard, Jean
TI - Nouveaux exemples d'extension relatives sans base normale
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2001
PB - UNIVERSITE PAUL SABATIER
VL - 10
IS - 3
SP - 493
EP - 505
LA - fre
KW - normal integral bases; resolvents; Gauss sums
UR - http://eudml.org/doc/73554
ER -

References

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  1. [B1] Brinkhuis ( J.). - Galois modules and embedding problems, J. reine angewandte Mathematik, 346 (1984), p. 141-165. Zbl0525.12008MR727401
  2. [B2] Brinkhuis ( J.). - normal integral bases and complex conjugation, J. reine angewandte Mathematik, 375-376 (1987), p. 157-166. Zbl0609.12009MR882295
  3. [C] Cougnard ( J.). - Bases normales relatives dans certaines extensions cyclotomiques, J. Number Theory, 23 no 3 (1986), p. 336-346. Zbl0588.12003MR846963
  4. [F] Fröhlich ( A.). - Arithmetic and Galois module structure for tame extensions, J. reine angewandte Mathematik, 286-287 (1976), p. 380-480. Zbl0385.12004MR432595
  5. [G] Gras ( G.). - Nombre de φ classes invariantes. Application aux classes des corps abéliens, Bull. Soc. Math. France, 106 (1978), p. 337-364. Zbl0392.12005MR518043
  6. [Gr] Greither ( C.). - Relative Integral Normal Bases in Q(ζp), J. Number Theory, 35 (1990), p. 180-193. Zbl0718.11053MR1057321
  7. [L] Lang ( S.). - Cyclotomic fields, Springer verlag G.T.M., 59 (1978). Zbl0395.12005MR485768
  8. [M] Milnor. - Introduction to algebraic K-theory, Annals of Math. Studies, 72 (1971). Zbl0237.18005MR349811

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