On heights of p-ADIC dynamical systems

Hua Chieh Li*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


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
Issue number2
Publication statusPublished - 2002

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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