\(p\)-adic periodic points and Sen's theorem
type: Item
instance of: scholarly article
title: \(p\)-adic periodic points and Sen's theorem
zbMATH Open document ID: 0859.11061
author: Hua-Chieh Li
published in: Journal of Number Theory
publication date: 1996-06-04T00:00:00Z
review text: The paper contains a study of periodic points of invertible series in \(X{\mathcal O} X\), with \({\mathcal O}\) being the ring of integers of a finite extension of \(\mathbb{Q}_p\), by elementary tools. This is applied to a generalization of \textit{J. Lubin}'s proof [Proc. Am. Math. Soc. 123, No. 1, 63-66 (1995; Zbl 0816.12004)] of \textit{S. Sen}'s theorem [Ann. Math., II. Ser. 90, 33-46 (1969; Zbl 0199.36301)] on the breaks of powers of a wild automorphism in local fields.
Mathematics Subject Classification ID: 11S05
zbMATH DE Number: 874182
zbMATH Keywords: finite extensions of local fields
zbMATH Keywords: periodic points of invertible series
reviewed by: I. B. Fesenko
MaRDI profile type: Publication
full work available at URL: jnth.1996.0020
OpenAlex ID: W1981663117
DOI: 10.1006/JNTH.1996.0020
description: scientific article; zbMATH DE number 874182