On relations between cyclotomic units
β Scribed by Veikko Ennola
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 516 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
Let k be a global function field with the field of constants F q , where q= p n is a prime power. Let be a fixed place with degree d . In the case d =1, we constructed the extended group of cyclotomic units in a cyclotomic extention of (k, ) and calculated its index in the total unit group [Y]. In t