# 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.
Type de document :
Pré-publication, Document de travail
7 pages. 2017

https://hal.archives-ouvertes.fr/hal-01476629
Contributeur : Laurent Berger <>
Soumis le : samedi 25 février 2017 - 08:11:05
Dernière modification le : dimanche 26 février 2017 - 01:03:43

### Identifiants

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

### Citation

Laurent Berger. Nonarchimedean dynamical systems and formal groups. 7 pages. 2017. 〈hal-01476629〉

### Métriques

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