@article{bwmeta1.element.bwnjournal-article-aav69i1p1bwm, author = {Jan Brinkhuis}, title = {Normal integral bases and the Spiegelungssatz of Scholz}, journal = {Acta Arithmetica}, volume = {69}, year = {1995}, pages = {1-9}, zbl = {0838.11073}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav69i1p1bwm} }
Jan Brinkhuis. Normal integral bases and the Spiegelungssatz of Scholz. Acta Arithmetica, Tome 69 (1995) pp. 1-9. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav69i1p1bwm/
[000] [B1] J. Brinkhuis, Normal integral bases and complex conjugation, J. Reine Angew. Math. 375/376 (1987), 157-166. | Zbl 0609.12009
[001] [B2] J. Brinkhuis, Galois module structure as the obstruction to a local-global principle, J. Algebra 145 (1992), 454-462. | Zbl 0745.11052
[002] [B3] J. Brinkhuis, On the Galois module structure over CM-fields, Manuscripta Math. 75 (1992), 333-347. | Zbl 0757.11044
[003] [C-F] J. W. S. Cassels and A. Fröhlich, Algebraic Number Theory, Academic Press, London, 1967. | Zbl 0153.07403
[004] [Ca-Ch-F-T] Ph. Cassou-Noguès, T. Chinburg, A. Fröhlich and M. J. Taylor, L-functions and Galois modules, Notes by D. Burns and N. P. Byott, in: Proceedings of the Durham Symposium, July 1989, Cambridge University Press, Cambridge, 1991, 75-139. | Zbl 0733.11044
[005] [C-T] Ph. Cassou-Noguès and M. J. Taylor, Elliptic Functions and Rings of Integers, Progr. Math. 66, Birkhäuser, Boston, 1987. | Zbl 0621.12012
[006] [F] A. Fröhlich, Galois Module Structure of Algebraic Integers, Ergeb. Math. Grenzgeb. (3) 1, Springer, 1981. | Zbl 0501.12012
[007] [H] D. Hilbert, Die Theorie der algebraischen Zahlkörper ('Zahlbericht'), Jahresber. Deutsch. Math.-Verein. 4 (1897), 175-546, or: Gesammelte Abhandlungen , I, Berlin, 1932, 63-363.
[008] [Jac] N. Jacobson, Lectures in Algebra, Vol. III, Princeton Univ. Press, 1964.
[009] [Jau] J.-F. Jaulent, Dualité dans les corps surcirculaires, in: Séminaire de Théorie des Nombres, Paris 1986-87, Progr. Math. 75, Birkhäuser, 1988, 183-220.
[010] [S] A. Scholz, Über die Beziehung der Klassenzahlen quadratischer Körper zueinander, J. Reine Angew. Math. 166 (1932), 201-203. | Zbl 0004.05104
[011] [T1] M. J. Taylor, On Fröhlich's conjecture for rings of integers of tame extensions, Invent. Math. 63 (1981), 41-79. | Zbl 0469.12003
[012] [T2] M. J. Taylor, Relative Galois module structure of rings of integers and elliptic functions II, Ann. of Math. 121 (1985), 519-535. | Zbl 0594.12008
[013] [T3] M. J. Taylor, Rings of integers and trace forms for tame extensions of odd degree, Math. Z. 202 (1989), 313-341. | Zbl 0723.11055
[014] [T4] M. J. Taylor, The Galois module structure of certain arithmetic principal homogeneous spaces, J. Algebra 153 (1992), 203-214. | Zbl 0776.11065