Galois module structure of the integers in wildly ramified cyclic extensions
type: Item
instance of: scholarly article
title: Galois module structure of the integers in wildly ramified cyclic extensions
zbMATH Open document ID: 0801.11046
author: Manohar L. Madan
author: Gove Griffith Elder
published in: Journal of Number Theory
publication date: 1994-12-05T00:00:00Z
review text: This paper is concerned with the Galois module structure of the ring of integers in totally ramified cyclic extensions, \(L/K\) of local fields whose characteristic is zero, \([L:K]= p^ m\), \(m\) arbitrary and \(p\) an odd prime. Under a restriction on the first ramification number, the structure of the ring of integers of \(L\) is described in terms of explicit indecomposable \(\mathbb{Z}_ p [G]\)-modules, \(G\) denoting the Galois group and \(\mathbb{Z}_ p\), the ring of \(p\)-adic integers.
Mathematics Subject Classification ID: 11R33
Mathematics Subject Classification ID: 11R20
zbMATH DE Number: 584037
zbMATH Keywords: wild extensions
zbMATH Keywords: explicit descriptions
zbMATH Keywords: Galois module structure
zbMATH Keywords: ring of integers
zbMATH Keywords: totally ramified cyclic extensions
reviewed by: J. Brinkhuis
MaRDI profile type: Publication
OpenAlex ID: W1996319616
DOI: 10.1006/JNTH.1994.1031
description: scientific article; zbMATH DE number 584037