Remark on the minimum discriminant of normal fields

Juraj Kostra

Czechoslovak Mathematical Journal (1989)

  • Volume: 39, Issue: 4, page 555-558
  • ISSN: 0011-4642

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Kostra, Juraj. "Remark on the minimum discriminant of normal fields." Czechoslovak Mathematical Journal 39.4 (1989): 555-558. <http://eudml.org/doc/13801>.

@article{Kostra1989,
author = {Kostra, Juraj},
journal = {Czechoslovak Mathematical Journal},
keywords = {minimum discriminants; normal extension fields; rational number field of prime degree; integral normal basis},
language = {eng},
number = {4},
pages = {555-558},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Remark on the minimum discriminant of normal fields},
url = {http://eudml.org/doc/13801},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Kostra, Juraj
TI - Remark on the minimum discriminant of normal fields
JO - Czechoslovak Mathematical Journal
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 4
SP - 555
EP - 558
LA - eng
KW - minimum discriminants; normal extension fields; rational number field of prime degree; integral normal basis
UR - http://eudml.org/doc/13801
ER -

References

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  1. Hilbert D., Die Theorie der algebraischen Zahlkörper, Jber. Deutsch. Math. Verein. 4, 1897. 
  2. Hunter J., The minimum discriminant of quintic fields, Proc. Glasgow Math. Assoc. 3, 1957. (1957) MR0091309
  3. Lang S., Algebra, (Russian). MIR, Moscow 1968. (1968) Zbl0218.00006
  4. Leopoldt H. W., Zur Arithmetik in abelschen Zahlkörpern, J. Reine Angew. Math. 209, 1962. (1962) Zbl0204.07101MR0139602
  5. Narkiewicz W., Elementary and analytic theory of algebraic numbers, PWN, Warszawa 1974. (1974) Zbl0276.12002MR0347767
  6. Pohst M., The minimum discriminant of seventh degree totally real algebraic number fields. Number theory and algebra, Zassenhaus. Academic Press 1977. (1977) MR0466069

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