Weakly Kronecker equivalent number fields and global norms

Manfred Lochter

Acta Arithmetica (1994)

  • Volume: 67, Issue: 2, page 105-121
  • ISSN: 0065-1036

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Manfred Lochter. "Weakly Kronecker equivalent number fields and global norms." Acta Arithmetica 67.2 (1994): 105-121. <http://eudml.org/doc/206621>.

@article{ManfredLochter1994,
author = {Manfred Lochter},
journal = {Acta Arithmetica},
keywords = {norm groups; weakly Kronecker equivalent classes; extension of number fields},
language = {eng},
number = {2},
pages = {105-121},
title = {Weakly Kronecker equivalent number fields and global norms},
url = {http://eudml.org/doc/206621},
volume = {67},
year = {1994},
}

TY - JOUR
AU - Manfred Lochter
TI - Weakly Kronecker equivalent number fields and global norms
JO - Acta Arithmetica
PY - 1994
VL - 67
IS - 2
SP - 105
EP - 121
LA - eng
KW - norm groups; weakly Kronecker equivalent classes; extension of number fields
UR - http://eudml.org/doc/206621
ER -

References

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  1. [1] J. W. S. Cassels and A. Fröhlich (eds.), Algebraic Number Theory, Academic Press, 1967. 
  2. [2] B. Fein, W. Kantor and M. Schacher, Relative Brauer groups II, J. Reine Angew. Math. 328 (1981), 374-403. Zbl0457.13004
  3. [3] W. Feit, Some consequences of the classification of finite simple groups, in: Proc. Sympos. Pure Math. 37, Amer. Math. Soc., 1980, 175-181. Zbl0454.20014
  4. [4] S. Gurak, On the Hasse norm principle, J. Reine Angew. Math. 299/300 (1978), 16-27. Zbl0367.12006
  5. [5] R. Guralnick, Zeroes of permutation characters with applications to prime splitting and Brauer groups, J. Algebra 131 (1990), 294-302. Zbl0708.12005
  6. [6] W. Jehne, Kronecker classes of algebraic number fields, J. Number Theory 9 (1977), 279-320. Zbl0392.12003
  7. [7] W. Jehne, On Kronecker classes of atomic extensions, Proc. London Math. Soc. (3) 34 (1977), 32-64. Zbl0356.12015
  8. [8] N. Klingen, Zahlkörper mit gleicher Primzerlegung, J. Reine Angew. Math. 299/300 (1978), 342-384. 
  9. [9] M. Lochter, Neue zahlentheoretische Aspekte der Kronecker-Äquivalenz, thesis, Köln, 1992. 
  10. [10] M. Lochter, New characterizations of Kronecker equivalence, J. Number Theory, to appear. 
  11. [11] M. Lochter, Weakly Kronecker equivalent number fields, Acta Arith., to appear. Zbl0829.11061
  12. [12] W. Narkiewicz, Elementary and Analytic Theory of Algebraic Numbers, 2nd ed., Springer, Berlin, 1990. Zbl0717.11045
  13. [13] J. Neukirch, Class Field Theory, Springer, 1986. Zbl0587.12001
  14. [14] R. S. Pierce, Associative Algebras, Springer, Berlin, 1982. Zbl0497.16001
  15. [15] J. P. Serre, Corps locaux, Hermann, Paris, 1968. Zbl0137.02501
  16. [16] L. Stern, On the norm groups of global fields, J. Number Theory 32 (1989), 203-219. Zbl0687.12006
  17. [17] L. Stern, On the equality of norm groups of global fields, J. Number Theory 36 (1990), 108-126. Zbl0718.11056
  18. [18] B. L. van der Waerden, Die Seltenheit der Gleichungen mit Affekt, Math. Ann. 109 (1934), 13-16. Zbl0007.39101

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