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On the cohomological dimension of non-standard number fields

✍ Scribed by Zoé Chatzidakis


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
848 KB
Volume
69
Category
Article
ISSN
0022-4049

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On the Units of Algebraic Number Fields
✍ I. Yamaguchi; H. Takeuchi 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 99 KB

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