Galois module structure of ideals in wildly ramified cyclic extensions of degree \(p^ 2\)
type: Item
instance of: scholarly article
title: Galois module structure of ideals in wildly ramified cyclic extensions of degree \(p^ 2\)
zbMATH Open document ID: 0820.11070
author: Gove Griffith Elder
publication date: 1995-07-12T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/75295
Mathematics Subject Classification ID: 11S23
Mathematics Subject Classification ID: 11S15
Mathematics Subject Classification ID: 20C32
zbMATH DE Number: 773322
zbMATH Keywords: Galois module structure
zbMATH Keywords: wild ramification
zbMATH Keywords: local number field
zbMATH Keywords: integral representation
zbMATH Keywords: finite representation type
MaRDI profile type: Publication
OpenAlex ID: W2116406957
cites work: Q4063543
cites work: Sur les extensions cycliques de degré $p^n$ d'un corps local
cites work: Q5644061
cites work: On Galois isomorphisms between ideals in extensions of local fields
cites work: Q3922829
cites work: Galois module structure of the integers in wildly ramified cyclic extensions
cites work: Q4063542
cites work: Q3966247
cites work: Über die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers.
cites work: Artin-Schreier Equations in Characteristic Zero
cites work: Q4097373
cites work: On the ramification numbers of cyclic p-extensions over local fields.
cites work: On the module structure of a p-extension over a -adic number field
cites work: Galois module structure of rings of integers
cites work: On automorphisms of local fields
cites work: Q3856855
cites work: Wildly Ramified Gamma Extensions
cites work: On the Ring of Integers in an Algebraic Number Field as a representation Module of Galois Group
DOI: 10.5802/AIF.1468
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 773322