Linearizability and rationality of monomial automorphisms of small order
type: Item
instance of: scholarly article
title: Linearizability and rationality of monomial automorphisms of small order
zbMATH Open document ID: 0698.12017
DOI: 10.1016/0021-8693(90)90098-9
author: Mowaffaq Hajja
published in: Journal of Algebra
publication date: 1990-01-01T00:00:00Z
review text: A K-automorphism of a purely transcendental extension L/K is called linearizable if it acts on the K-submodule of L generated by a transcendence basis of L/K. The author gives a sufficient condition for the linearizability of certain automorphisms associated with cyclotomic polynomials of order 2p (with prime p). The cases \(p=3,5,7\) are studied in detail.
reviewed by: Władysław Narkiewicz
Mathematics Subject Classification ID: 12F20
zbMATH DE Number: 4144094
zbMATH Keywords: monomial automorphisms
zbMATH Keywords: linearizability of automorphisms
zbMATH Keywords: purely transcendental extension
zbMATH Keywords: cyclotomic polynomials
MaRDI profile type: Publication
full work available at URL: 0021-8693(90)90098-9
OpenAlex ID: W2034926454
cites work: Invariants of finite Abelian groups
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cites work: Quasi-linearity of cyclic monomial automorphisms
cites work: Rational functions invariant under a finite Abelian group
cites work: Q4101931
cites work: Q3324057
description: scientific article; zbMATH DE number 4144094