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Construction of bases for the group of cyclotomic units

Research Output: Contribution to journal Article Peer-review

Abstract

Subject of investigation is the construction of a basis Bn for the group of cyclotomic units of the nth cyclotomic field. These bases have the property that Bd⊆Bn for d ∣ n. For this purpose the notion of weak σ-bases of a module with an involution operating on it is introduced. The weak σ-basis of a special module then leads via explicit given isomorphisms to the desired bases for the group of cyclotomic units.

Publication Information

Output type

Research Output: Contribution to journal Article Peer-review

Original language

English

Pages from-to (Number of pages)

Pages 1-15

Journal (Volume, Issue Number)

Journal of Number Theory (Volume 81, Issue 1)

Publication milestones

  • Published - 01/01/2000

Publication status

Published - 01/01/2000

ISSN

0022-314X

External Publication IDs

  • handle.net: 10547/279196
  • Scopus: 0034148514

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