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

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'On heights of p-ADIC dynamical systems'. Together they form a unique fingerprint.

  • Cite this