𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Class groups and differential function fields

✍ Scribed by Alexandru Buium

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
483 KB
Volume
89
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On the Class Group Problem for Function
On the Class Group Problem for Function Fields
✍ Bruno Angles πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 276 KB

Let G be a finite abelian group, it is a difficult and unsolved problem to find a number field F whose ideal class group is isomorphic to G. In [WAS], Corollary 3.9 and in [COR], Theorem 2, it is proved that every finite abelian group is isomorphic to a factor group of the ideal class group of some

Abelian subgroups of any order in class
Abelian subgroups of any order in class groups of global function fields
✍ Allison M. Pacelli πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 311 KB

Let F be a finite field with q elements, and T a transcendental element over F: In this paper, we construct infinitely many real function fields of any fixed degree over FðTÞ with ideal class numbers divisible by any given positive integer greater than 1. For imaginary function fields, we obtain a s

Quadratic function fields with exponent
Quadratic function fields with exponent two ideal class group
✍ Victor Bautista-Ancona; Javier Diaz-Vargas πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 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