Let \(K\) be an algebraic number field and \(k\) be a proper subfield of \(K\). Then we have the relations between the relative degree \([K: k]\) and the increase of the rank of the unit groups. Especially, in the case of \(m\) th cyclotomic field \(Q\left(\zeta_{m}\right)\), we determine the number
Units and discriminants of algebraic number fields
β Scribed by Edward H. Grossman
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 257 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0010-3640
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