On normal integral bases of local fields
type: Item
instance of: scholarly article
title: On normal integral bases of local fields
zbMATH Open document ID: 0595.12007
DOI: 10.1016/0021-8693(86)90022-0
author: Fuminori Kawamoto
published in: Journal of Algebra
publication date: 1986-01-01T00:00:00Z
review text: The author gives a simple proof of the following theorem without using representation theory: any finite tamely ramified Galois extension of a local field has a normal integral basis. This theorem was obtained from Corollary 6.4 in \textit{R. G. Swan} [Ann. Math., II. Ser. 71, 552-578 (1960; Zbl 0104.251)]. It was also proved by \textit{T. Tsukamoto} [Sûgaku 11, 13-14 (1959) (Japanese)] containing the case of infinite residue field.
Mathematics Subject Classification ID: 11S15
Mathematics Subject Classification ID: 11S20
zbMATH DE Number: 3957243
zbMATH Keywords: tamely ramified Galois extension
zbMATH Keywords: local field
zbMATH Keywords: normal integral basis
reviewed by: Zhang Xian
MaRDI profile type: Publication
full work available at URL: 0021-8693(86)90022-0
OpenAlex ID: W2095178413
cites work: Extensions of a local field with normal basis for principal units
cites work: Q3966247
cites work: On Galois Groups of Local Fields
cites work: Q5612629
cites work: Induced representations and projective modules
description: scientific article; zbMATH DE number 3957243