On normal integral bases in ray class fields over imaginary quadratic fields
Cornelius Greither
Acta Arithmetica, Tome 80 (1997), p. 315-329 / Harvested from The Polish Digital Mathematics Library
Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:206953
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     author = {Cornelius Greither},
     title = {On normal integral bases in ray class fields over imaginary quadratic fields},
     journal = {Acta Arithmetica},
     volume = {80},
     year = {1997},
     pages = {315-329},
     zbl = {0866.11064},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav78i4p315bwm}
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Cornelius Greither. On normal integral bases in ray class fields over imaginary quadratic fields. Acta Arithmetica, Tome 80 (1997) pp. 315-329. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav78i4p315bwm/

[000] [1] P. Cassou-Noguès and M. Taylor, Elliptic Functions and Rings of Integers, Progr. Math. 66, Birkhäuser, 1986. | Zbl 0621.12012

[001] [2] L. Childs, The group of unramified Kummer extensions of prime degree, Proc. London Math. Soc. 35 (1995), 407-422. | Zbl 0374.13002

[002] [3] E. J. Gómez Ayala, Bases normales d'entiers dans les extensions de Kummer de degré premier, J. Théor. Nombres Bordeaux 6 (1994), 95-116.

[003] [4] E. J. Gómez Ayala, Structure galoisienne et corps de classes de rayon de conducteur 2, Acta Arith. 72 (1995), 375-383.

[004] [5] E. J. Gómez Ayala und R. Schertz, Eine Bemerkung zur Galoismodulstruktur in Strahlklassenkörpern über imaginärquadratischen Zahlkörpern, J. Number Theory 44 (1993), 41-46.

[005] [6] C. Greither and R. Miranda, Galois extensions of prime degree, J. Algebra 124 (1989), 354-366. | Zbl 0706.13008

[006] [7] L. McCulloh, A Stickelberger condition on Galois module structure for Kummer extensions of prime degree, in: Algebraic Number Fields (Durham Proceedings), A. Fröhlich (ed.), Academic Press, London, 1977, 561-588.

[007] [8] L. McCulloh, Galois module structure of elementary abelian extensions, J. Algebra 82 (1983), 102-134. | Zbl 0508.12008

[008] [9] R. Schertz, Galoismodulstruktur und elliptische Funktionen, J. Number Theory 39 (1991), 285-326.

[009] [10] L. Washington, Introduction to Cyclotomic Fields, Grad. Texts in Math. 83, Springer, 1982.