Unit indices of imaginary abelian number fields of type (2, 2, 2)
โ Scribed by Mikihito Hirabayashi; Ken-ichi Yoshino
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 588 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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.
Assume that \(K\) is either a totally real or a totally imaginary number field. Let \(F\) be the maximal unramified elementary abelian 2-extension of \(K\) and \([F: K]=2^{n}\). The purpose of this paper is to describe a family of cubic cyclic extension of \(K\). We have constructed an unramified ab
Let k be an imaginary quadratic number field with C k, 2 , the 2-Sylow subgroup of its ideal class group, isomorphic to Zร2Z\_Zร2Z\_Zร2Z. By the use of various versions of the Kuroda class number formula, we improve significantly upon our previous lower bound for |C k 1 , 2 | , the 2-class number of