# Nonarchimedean dynamical systems and formal groups

Abstract : We confirm an observation of Lubin concerning families of $p$-adic power series that commute under composition. We prove that under certain conditions, there is a formal group such that the power series in the family are either endomorphisms of this group, or at least semi-conjugate to endomorphisms of this group.
Document type :
Preprints, Working Papers, ...

https://hal.archives-ouvertes.fr/hal-01476629
Contributor : Laurent Berger <>
Submitted on : Saturday, February 25, 2017 - 8:11:05 AM
Last modification on : Thursday, April 4, 2019 - 10:18:05 AM

### Identifiers

• HAL Id : hal-01476629, version 1
• ARXIV : 1702.06037

### Citation

Laurent Berger. Nonarchimedean dynamical systems and formal groups. 2017. ⟨hal-01476629⟩

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