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.
| Original language | English |
|---|---|
| Pages (from-to) | 1-15 |
| Journal | Journal of Number Theory |
| Volume | 81 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2000 |
Keywords
- cyclotomic units
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