Extensions with almost maximal depth of ramification
type: Item
instance of: scholarly article
title: Extensions with almost maximal depth of ramification
zbMATH Open document ID: 1039.11084
DOI: 10.1023/A:1020382616985
author: I. B. Zhukov
author: G. K. Pak
author: S. V. Vostokov
published in: Journal of Mathematical Sciences (New York)
publication date: 2003-07-21T00:00:00Z
review text: The authors study finite Abelian extensions \(L\) of complete discretely valued fields \(K\) of characteristic \(0\) with residue class field of prime characteristic \(p> 2\). They say that \(L/K\) has ``almost maximal depth of ramification'' if \([L:K]\) is a divisor of the different \({\mathcal D}_{L/K}\). The main results of the present paper are conditions under which \([L:K]|{\mathcal D}_{L/K}\) is satisfied.
Mathematics Subject Classification ID: 11S15
zbMATH DE Number: 1859523
reviewed by: Helmut Koch
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1859523