On heights of p-ADIC dynamical systems

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

When we consider the properties of the iterates of a noninvertible endomorphism of a formal group, all the roots of iterates of the endomorphism are simple and the full commuting family contains both invertible and noninvertible series. Experimental evidence seems to suggest that for an invertible series to commute with a noninvertible series with only simple roots of iterates, two such commuting power series must be endomorphisms of a single formal group. Lubin proposed four conjectures to support this conjecture. In this paper, we provide answers to these four conjectures.

Original languageEnglish
Pages (from-to)379-386
Number of pages8
JournalProceedings of the American Mathematical Society
Volume130
Issue number2
DOIs
Publication statusPublished - 2002 Jan 1

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Iterate
Formal Group
Dynamical systems
Dynamical system
Endomorphism
Invertible
Series
Roots
Endomorphisms
Commute
Power series

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

On heights of p-ADIC dynamical systems. / Li, Hua Chieh.

In: Proceedings of the American Mathematical Society, Vol. 130, No. 2, 01.01.2002, p. 379-386.

Research output: Contribution to journalArticle

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