Galois Relations for Cyclotomic Numbers and p-Units
β Scribed by D. Solomon
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 778 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
β¦ Synopsis
We study Galois relations between certain sets of cyclotomic numbers in real abelian fields. In one class of cases, a complete set of Galois generators for these relations is determined. These results are used to study the group of cyclotomic (p)-units introduced in [So]. In particular, the latter is shown to be Galois isomorphic to the group of cyclotomic numbers. 1994 Academic Press, Inc.
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