๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Factorisability, group lattices, and galois module structure

โœ Scribed by David J Burns


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
838 KB
Volume
134
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Galois Module Structure and Elliptic Fun
โœ W. Bley ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 669 KB

Let \(K\) be a quadratic imaginary number field and \(R_{f}\) the ring class field modulo \(f\) over \(K, f \in \mathbb{N}\). Let \(\theta_{f}\) denote the order of conductor \(f\) in \(K\) and let \(\mathfrak{g}^{*}, \mathrm{~g}\) be proper O \(\gamma\)-ideals such that \(\mathbf{g}^{* 2} \subseteq

Carlitz Modules and Galois Module Struct
โœ Akira Aiba ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 609 KB

Let k be a one variable rational function field over a finite field. We construct an example of a wildly ramified abelian extension over k, whose integer ring is not free over its associated order.

Carlitz Modules and Galois Module Struct
โœ Akira Aiba ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 282 KB

Let L#F be cyclotomic function fields of Carlitz. We show that if Lร‚F is Carlitz Kummer, the integer ring O L is free over the associated order as in the classical cyclotomic Kummer extension. However, contrary to the characteristic zero case, O L is not free unless Lร‚F is Carlitz Kummer.