✦ LIBER ✦
The Exponent 2-Class-Group Problem for Non-Galois Over Q Quartic Fields That Are Quadratic Extensions of Imaginary Quadratic Fields
✍ Scribed by S. Louboutin
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 350 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
✦ Synopsis
Focusing on a particular case, we will show that one can explicitly determine the quartic fields (\mathbf{K}) that have ideal class groups of exponent (\leqslant 2), provided that (\mathbf{K} / \mathbf{Q}) is not normal, provided that (\mathbf{K}) is a quadratic extension of a fixed imaginary quadratic number field, and provided that the regulator of (\mathbf{K}) is not too large compared with the discriminant of K. 1994 Academic Press, Inc.