On normal integral bases of unramified abelian \(p\)-extensions over a global function field of characteristic \(p\)
type: Item
instance of: scholarly article
title: On normal integral bases of unramified abelian \(p\)-extensions over a global function field of characteristic \(p\)
zbMATH Open document ID: 1137.11349
author: Humio Ichimura
published in: Finite Fields and their Applications
publication date: 2004-08-10T00:00:00Z
Mathematics Subject Classification ID: 11R58
zbMATH DE Number: 2085848
zbMATH Keywords: Normal integral basis
zbMATH Keywords: Function field
MaRDI profile type: Publication
full work available at URL: j.ffa.2003.09.006
OpenAlex ID: W2004141167
cites work: On the class group problem for function fields
cites work: Unramified Abelian Extensions of CM -Fields and their Galois Module Structure
cites work: Carlitz Modules and Normal Integral Bases
cites work: Kummer theory and Galois module structure in global function fields
cites work: The Group of Unramified Kummer Extensions of Prime Degree
cites work: Q3995206
cites work: Normal integral bases in Kummer extensions of prime degree
cites work: Cyclic Galois extensions of commutative rings
cites work: Explicit Class Field Theory for Rational Function Fields
cites work: On the class groups of pure function fields
cites work: On the class numbers of the maximal real subfields of cyclotomic function fields
cites work: On the class numbers of the maximal real subfields of cyclotomic function fields. II
cites work: A note on integral bases of unramified cyclic extensions of prime degree. II
DOI: 10.1016/J.FFA.2003.09.006
description: scientific article; zbMATH DE number 2085848