๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the Galois groups of the 2-class towers of some imaginary quadratic fields

โœ Scribed by Aliza Steurer

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
165 KB
Volume
125
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

The Exponent 2-Class-Group Problem for N
The Exponent 2-Class-Group Problem for Non-Galois Over Q Quartic Fields That Are Quadratic Extensions of Imaginary Quadratic Fields
โœ S. Louboutin ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 350 KB

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 imaginar

Refined Lower Bounds on the 2-Class Numb
Refined Lower Bounds on the 2-Class Number of the Hilbert 2-Class Field of Imaginary Quadratic Number Fields with Elementary 2-Class Group of Rank 3
โœ Elliot Benjamin; Charles J. Parry ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 125 KB

Let k be an imaginary quadratic number field with C k, 2 , the 2-Sylow subgroup of its ideal class group, isomorphic to Zร‚2Z\_Zร‚2Z\_Zร‚2Z. 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