Algebraic dynamics of polynomial maps on the algebraic closure of a finite field. II
type: Item
instance of: scholarly article
title: Algebraic dynamics of polynomial maps on the algebraic closure of a finite field. II
zbMATH Open document ID: 0816.11064
author: Anjula Batra
author: Patrick Morton
published in: Rocky Mountain Journal of Mathematics
publication date: 1995-04-02T00:00:00Z
review text: In part I [ibid. 24, 453-481 (1994; Zbl 0810.11071)] the authors associated with every monic irreducible polynomial \(\sigma\) over a finite field \(\mathbb{F}_ q\) a graph \(G_ \sigma\), whose properties are related to the dynamics of the mapping defined by \(\sigma\) in the algebraic closure of \(\mathbb{F}_ q\). Here the structure of connected components of that graph is studied and in the case of prime \(q\) and \(\sigma (x)= x^ q \pm x\) it is determined explicitly.
Mathematics Subject Classification ID: 11T06
Mathematics Subject Classification ID: 12E20
Mathematics Subject Classification ID: 05C20
zbMATH DE Number: 720425
zbMATH Keywords: polynomial maps
zbMATH Keywords: fixed points
zbMATH Keywords: polynomial cycles
zbMATH Keywords: dynamical systems
zbMATH Keywords: monic irreducible polynomial
zbMATH Keywords: finite field
zbMATH Keywords: graph
reviewed by: Władysław Narkiewicz
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181072380
OpenAlex ID: W2072257486
cites work: Algebraic dynamics of polynomial maps on the algebraic closure of a finite field. I
cites work: POLYNORMAL RELATIONS IN CHARACTERISTIC p
cites work: Q3216750
cites work: The Galois Theory of Periodic Points of Polynomial Maps
DOI: 10.1216/RMJM/1181072380
description: scientific article; zbMATH DE number 720425