Ramification of some automorphisms of local fields
type: Item
instance of: scholarly article
title: Ramification of some automorphisms of local fields
zbMATH Open document ID: 0921.11059
author: M. Saïne
author: François Laubie
published in: Journal of Number Theory
publication date: 1999-01-06T00:00:00Z
review text: Let \(k\) be a perfect field of characteristic \(p>0\) and \(K=k((t))\). For any \(k\)-automorphism \(\gamma\) of \(K\), define the ramification numbers \(i_m\) of \(\gamma\), \(m\geq 0\). The aim of this paper is to investigate the following problem: Which sequences \((i_m)_{m\geq 0}\) of integers are the sequence of ramification numbers of infinite order automorphisms \(\gamma\)?
Mathematics Subject Classification ID: 11S15
Mathematics Subject Classification ID: 11S20
zbMATH DE Number: 1236187
zbMATH Keywords: automorphisms of local fields
zbMATH Keywords: Galois group
zbMATH Keywords: perfect field
zbMATH Keywords: ramification numbers
reviewed by: Toma Albu
MaRDI profile type: Publication
full work available at URL: jnth.1998.2273
OpenAlex ID: W1965427656
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DOI: 10.1006/JNTH.1998.2273
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description: scientific article; zbMATH DE number 1236187