Weakly Kronecker equivalent number fields and global norms
Manfred Lochter
Acta Arithmetica, Tome 68 (1994), p. 105-121 / Harvested from The Polish Digital Mathematics Library
Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:206621
@article{bwmeta1.element.bwnjournal-article-aav67i2p105bwm,
     author = {Manfred Lochter},
     title = {Weakly Kronecker equivalent number fields and global norms},
     journal = {Acta Arithmetica},
     volume = {68},
     year = {1994},
     pages = {105-121},
     zbl = {0829.11062},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav67i2p105bwm}
}
Manfred Lochter. Weakly Kronecker equivalent number fields and global norms. Acta Arithmetica, Tome 68 (1994) pp. 105-121. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav67i2p105bwm/

[000] [1] J. W. S. Cassels and A. Fröhlich (eds.), Algebraic Number Theory, Academic Press, 1967.

[001] [2] B. Fein, W. Kantor and M. Schacher, Relative Brauer groups II, J. Reine Angew. Math. 328 (1981), 374-403. | Zbl 0457.13004

[002] [3] W. Feit, Some consequences of the classification of finite simple groups, in: Proc. Sympos. Pure Math. 37, Amer. Math. Soc., 1980, 175-181. | Zbl 0454.20014

[003] [4] S. Gurak, On the Hasse norm principle, J. Reine Angew. Math. 299/300 (1978), 16-27. | Zbl 0367.12006

[004] [5] R. Guralnick, Zeroes of permutation characters with applications to prime splitting and Brauer groups, J. Algebra 131 (1990), 294-302. | Zbl 0708.12005

[005] [6] W. Jehne, Kronecker classes of algebraic number fields, J. Number Theory 9 (1977), 279-320. | Zbl 0392.12003

[006] [7] W. Jehne, On Kronecker classes of atomic extensions, Proc. London Math. Soc. (3) 34 (1977), 32-64. | Zbl 0356.12015

[007] [8] N. Klingen, Zahlkörper mit gleicher Primzerlegung, J. Reine Angew. Math. 299/300 (1978), 342-384.

[008] [9] M. Lochter, Neue zahlentheoretische Aspekte der Kronecker-Äquivalenz, thesis, Köln, 1992.

[009] [10] M. Lochter, New characterizations of Kronecker equivalence, J. Number Theory, to appear.

[010] [11] M. Lochter, Weakly Kronecker equivalent number fields, Acta Arith., to appear. | Zbl 0829.11061

[011] [12] W. Narkiewicz, Elementary and Analytic Theory of Algebraic Numbers, 2nd ed., Springer, Berlin, 1990. | Zbl 0717.11045

[012] [13] J. Neukirch, Class Field Theory, Springer, 1986. | Zbl 0587.12001

[013] [14] R. S. Pierce, Associative Algebras, Springer, Berlin, 1982. | Zbl 0497.16001

[014] [15] J. P. Serre, Corps locaux, Hermann, Paris, 1968. | Zbl 0137.02501

[015] [16] L. Stern, On the norm groups of global fields, J. Number Theory 32 (1989), 203-219. | Zbl 0687.12006

[016] [17] L. Stern, On the equality of norm groups of global fields, J. Number Theory 36 (1990), 108-126. | Zbl 0718.11056

[017] [18] B. L. van der Waerden, Die Seltenheit der Gleichungen mit Affekt, Math. Ann. 109 (1934), 13-16. | Zbl 0007.39101