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On bases of Washingtonʼs group of circular units of some real cyclic number fields

✍ Scribed by Werl, Milan

Book ID
122203954
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
370 KB
Volume
134
Category
Article
ISSN
0022-314X

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📜 SIMILAR VOLUMES

On Bases of Groups of Circular Units of
On Bases of Groups of Circular Units of Some Imaginary Abelian Number Fields
✍ Kazuhiro Dohmae 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 820 KB

Let k be an imaginary abelian number field whose conductor has at most two distinct prime divisors and whose maximal subfields which are ramified at one prime are imaginary. We shall find a basis for the group C of circular units in k and compute the index of C in the group E of units in k.

On the Cyclotomic Unit Group and the Ide
On the Cyclotomic Unit Group and the Ideal Class Group of a Real Abelian Number Field II
✍ Manabu Ozaki 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 1001 KB

Let K be a real abelian number field satisfying certain conditions and K n the n th layer of the cyclotomic Z p -extension of K. We study the relation between the p-Sylow subgroup of the ideal class group and that of the unit group module the cyclotomic unit group of K n . We give certain sufficient