Lifting endomorphisms of formal A-modules over finite fields

Hua Chieh Li

doi:10.1016/j.jnt.2006.04.011

Lifting endomorphisms of formal A-modules over finite fields

Hua Chieh Li^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Lubin conjectures 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. In this paper, we show that if the reduction of these two commuting power series are endomorphisms of a formal group, then themselves are endomorphisms of a formal group.

Original language	English
Pages (from-to)	59-70
Number of pages	12
Journal	Journal of Number Theory
Volume	123
Issue number	1
DOIs	https://doi.org/10.1016/j.jnt.2006.04.011
Publication status	Published - 2007 Mar

Keywords

Formal A-module
Formal group law
p-Adic dynamical systems

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jnt.2006.04.011

Cite this

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title = "Lifting endomorphisms of formal A-modules over finite fields",

abstract = "Lubin conjectures 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. In this paper, we show that if the reduction of these two commuting power series are endomorphisms of a formal group, then themselves are endomorphisms of a formal group.",

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AB - Lubin conjectures 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. In this paper, we show that if the reduction of these two commuting power series are endomorphisms of a formal group, then themselves are endomorphisms of a formal group.

KW - Formal A-module

KW - Formal group law

KW - p-Adic dynamical systems

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Lifting endomorphisms of formal A-modules over finite fields

Abstract

Keywords

ASJC Scopus subject areas

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