Quelques questions sur les entiers algébriques Aspects algorithmiques

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1. [B] - N. Bourbaki-AlgèbreCh. V. Hermann1958. 
2. [Ba]- E. Bayer -Self-Dual Normal Bases. Proc. Koninglijke Nederl.Ak. Wetenschappen vol 92 n°41989, p.379-383. Zbl0709.12004MR1041492
3. [B.F.M. - T. Beth & W. Fumy & R. Mülhfeld -Zur Algebraischen diskreten Fourier-Transformation. Arch. Math. vol 401983, p. 238-244. Zbl0494.65018MR701270
4. [B.L.] - E. Bayer-Fluckiger & H.W. Lenstra Jr. -Forms in Odd Degree Extensions and Self-Dual Normal Bases. A paraître Zbl0729.12006
5. [B.M.O.]- A. M. Bergé & J. Martinet & M. Olivier -The computation of sextic fields with a quadratic subfield à paraître. Zbl0709.11056
6. [B.S] - Z. I. Borevitch & I.R. Shafarevitch -Théorie des Nombres. Gauthier-Villars1967. 
7. [Bu] - J. Buchmann -On the Computation of Units and Class Numbers by a Generalisation of Lagrange's Algorithm. J. of Number Th. vol 26 n°11987, p. 8-30. Zbl0615.12001MR883530
8. [CF.] - J. Cougnard & V. Fleckinger -Modèle de Legendre d'une courbe elliptique à multiplication complexe et monogénéité de'anneau d'entiers II. A paraître dans Acta Arithmética1990. Zbl0708.11061
9. [C.M.]- H. Cohen & J. Martinet -Class Groups of Number Fields. Numerical Heuristics. Math, of Computations vol 48 n° 1771987, p.123-137. Zbl0627.12006MR866103
10. [CN.T] - Ph. Cassou-Noguès & M. Taylor -Elliptic functions and Rings of Integers. Birkhaüser1987. Zbl0608.12013MR886887
11. [CP.] - P.E. Conner & R. Perlis -A Survey of Trace Forms of Algebraic Number Fields. World Scientific1984. Zbl0551.10017MR761569
12. [Cr] - T. Crespo -Explicit Construction of ${\tilde{A}}_n$ Type fields. J. of Algebra vol 1271989, p.452-461. Zbl0704.11043MR1028464
13. [E] - B. Erez - The Galois Structure of the Trace Form in Extensions of Odd Prime Degree. J. Number Th. vol 118 n°21988, p. 438-446. Zbl0663.12015MR969683
14. [F] - A. Fröhlich -Galois Module Structure of Algebraic Integers. Springer Verlag1983. Zbl0501.12012MR717033
15. [G] - M.N. Gras -Non Monogénéité de l’Anneau des entiers des extensions cycliques de $𝐐$ de degré $\ell \ge 5$. J. of Number Th. vol 23 n°31986, p.347-353. Zbl0564.12008MR846964
16. [K]-Komputation Algebraic Number Theory- Groupe KANT (Pr. Pohst). Université de Düsseldorf. R.F.A. 
17. [L] - T.Y. Lam -The Theory of Quadratic Forms. Benjamin1973. MR396410
18. [M] - R. Massy -Bases Normales d'Entiers relatives Quadratiques. Preprint 1989. Zbl0729.11057
19. [Ma]- J. Martinet -Discriminants and Permutation Groups. Number Theory (R.A. Mollin Ed.), p.359-385W. de Gruyter. Zbl0696.12018MR1106673
20. [Me]- J.-F. Mestre - Extensions Régulières de $𝐐\left(t\right)$. A paraître dans J. of Algebra. 
21. [M.S.] - F.J. McWilliam & N.J.A. Sloane - The Theory of Error Correcting CodesNorth Holland1977. Zbl0369.94008
22. [P.Z.] - M. Pohst & H. Zassenhaus -Algorithmic Algebraic Number Theory. Cambridge University Press1989. Zbl0685.12001MR1033013
23. [S] - J.-P. Serre -Sur l’invariant de Witt de la forme $Tr\left(x^2\right)$. Comm. Math. Helv.591984, p.651-676. Zbl0565.12014MR780081
24. [Sa] - P. Samuel -Théorie Algébrique des Nombres. Hermann1967. Zbl0239.12001MR215808
25. [Sc] - R. Schertz -Konstruktion von Potenzganzheitsbasen in Strahlklassentkörpern ùber imaginär quadratischen Zahlkörpern. J. Reine Angew. Math.3981990, p.105-129. Zbl0666.12006MR998475
26. [Sm] - R. Smadja -Calculs Effectifs sur les Idéaux des Corps de Nombres Algébriques. Publ. U.E.R. Sci. Luminy1976. 
27. [T] - M.J. Taylor -Rings of Integers and Trace Forms for Tame extensions of Odd Degree. Math. Zeit. vol 2021989, p.313-341. Zbl0723.11055MR1017574
28. [V] - N. Vila -On Central Extensions of $A_n$ as Galois Group over $𝐐$. Arch. Math. vol 441985, p.424-437. Zbl0562.12011MR792366
29. [W] - L.C. Washington -Introduction to Cyclotomic Fields. G.T.M83Springer Verlag1982. Zbl0484.12001MR718674