Galois module structure of the integers in weakly ramified extensions
type: Item
instance of: scholarly article
title: Galois module structure of the integers in weakly ramified extensions
zbMATH Open document ID: 0812.11064
DOI: 10.1007/BF01196629
author: Manohar L. Madan
author: Gove Griffith Elder
published in: Archiv der Mathematik
publication date: 1995-05-23T00:00:00Z
review text: Let \(L/K\) be a fully ramified Galois extension of local number fields where \([K: \mathbb{Q}_ p]<\infty\), \(\mathbb{Q}_ p\) denoting the field of \(p\)- adic numbers. If \(L/K\) is weakly ramified in the sense of Erez, we determine the \(\mathbb{Z}_ p [G]\)-module structure of the ring of integers of \(L\) explicitly in terms of indecomposable \(\mathbb{Z}_ p [G]\)-modules.
Mathematics Subject Classification ID: 11R33
zbMATH DE Number: 734503
zbMATH Keywords: fully ramified Galois extension of local number fields
zbMATH Keywords: \(\mathbb{Z}_ p [G]\)- module structure of the ring of integers
MaRDI profile type: Publication
cites work: Galois module structure of rings of integers
cites work: Integral Normal Bases in Galois Extensions of Local Fields
cites work: Wildly Ramified Gamma Extensions
description: scientific article; zbMATH DE number 734503