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ArticleOriginal scientific text

Title

Universal normal bases for the abelian closure of the field of rational numbers

Authors 1

Affiliations

  1. Institut für Mathematik, Universität Augsburg, 86159 Augsburg, Germany

Keywords

ENG
cyclotomic field, abelian closure, normal basis/element, universally normal basis/element, completely normal basis/element, trace-compatible sequence

Bibliography

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  3. [Bo] W. Bosma, Canonical bases for cyclotomic fields, Appl. Algebra Engrg. Comm. Comput. 1 (1990), 125-134.
  4. [Br] T. Breuer, Integral bases for subfields of cyclotomic fields, ibid. 8 (1997), 279-289.
  5. [Fa] C. C. Faith, Extensions of normal bases and completely basic fields, Trans. Amer. Math. Soc. 85 (1957), 406-427.
  6. [Ha] D. Hachenberger, Finite Fields: Normal Bases and Completely Free Elements, Kluwer, Boston, 1997.
  7. [Jo] K. Johnsen, Lineare Abhängigkeiten von Einheitswurzeln, Elem. Math. 40 (1985), 57-59.
  8. [Le] H. W. Lenstra, Jr., A normal basis theorem for infinite Galois extensions, Indag. Math. 47 (1985), 221-228.
  9. [Ri] P. Ribenboim, Algebraic Numbers, Pure Appl. Math. 27, Wiley, New York, 1972.
  10. [Sche] A. Scheerhorn, Trace- and norm-compatible extensions of finite fields, Appl. Algebra Engrg. Comm. Comput. 3 (1992), 435-447.
  11. [Wa] L. C. Washington, Introduction to Cyclotomic Fields, Grad. Texts in Math. 83, Springer, Berlin, 1982.
Acta Arithmetica
2000/93/4
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Pages:
329-341
Main language of publication
English
Received
1999-04-29
Published
2000
Exact and natural sciences