๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Quadratic fields with noncyclic 5- or 7-class groups

โœ Scribed by Dongho Byeon

Publisher
Springer US
Year
2008
Tongue
English
Weight
246 KB
Volume
19
Category
Article
ISSN
1382-4090

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Quadratic function fields with exponent
Quadratic function fields with exponent two ideal class group
โœ Victor Bautista-Ancona; Javier Diaz-Vargas ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 198 KB

It has been shown by Madden that there are only finitely many quadratic extensions of k(x), k a finite field, in which the ideal class group has exponent two and the infinity place of k(x) ramifies. We give a characterization of such fields that allow us to find a full list of all such field extensi

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