Weakly Kronecker equivalent number fields and global norms

Manfred Lochter

ArticleOriginal scientific text

Title

Weakly Kronecker equivalent number fields and global norms

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Affiliations

FB 9, Mathematik, Universität des Saarlandes, 66041 Saarbrücken, Germany

J. W. S. Cassels and A. Fröhlich (eds.), Algebraic Number Theory, Academic Press, 1967.
B. Fein, W. Kantor and M. Schacher, Relative Brauer groups II, J. Reine Angew. Math. 328 (1981), 374-403.
W. Feit, Some consequences of the classification of finite simple groups, in: Proc. Sympos. Pure Math. 37, Amer. Math. Soc., 1980, 175-181.
S. Gurak, On the Hasse norm principle, J. Reine Angew. Math. 299/300 (1978), 16-27.
R. Guralnick, Zeroes of permutation characters with applications to prime splitting and Brauer groups, J. Algebra 131 (1990), 294-302.
W. Jehne, Kronecker classes of algebraic number fields, J. Number Theory 9 (1977), 279-320.
W. Jehne, On Kronecker classes of atomic extensions, Proc. London Math. Soc. (3) 34 (1977), 32-64.
N. Klingen, Zahlkörper mit gleicher Primzerlegung, J. Reine Angew. Math. 299/300 (1978), 342-384.
M. Lochter, Neue zahlentheoretische Aspekte der Kronecker-Äquivalenz, thesis, Köln, 1992.
M. Lochter, New characterizations of Kronecker equivalence, J. Number Theory, to appear.
M. Lochter, Weakly Kronecker equivalent number fields, Acta Arith., to appear.
W. Narkiewicz, Elementary and Analytic Theory of Algebraic Numbers, 2nd ed., Springer, Berlin, 1990.
J. Neukirch, Class Field Theory, Springer, 1986.
R. S. Pierce, Associative Algebras, Springer, Berlin, 1982.
J. P. Serre, Corps locaux, Hermann, Paris, 1968.
L. Stern, On the norm groups of global fields, J. Number Theory 32 (1989), 203-219.
L. Stern, On the equality of norm groups of global fields, J. Number Theory 36 (1990), 108-126.
B. L. van der Waerden, Die Seltenheit der Gleichungen mit Affekt, Math. Ann. 109 (1934), 13-16.

Title

Weakly Kronecker equivalent number fields and global norms

Affiliations

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