Nonarchimedean dynamical systems and formal groups

Berger, Laurent

doi:10.1090/proc/14401

Nonarchimedean dynamical systems and formal groups
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by Laurent Berger

Proc. Amer. Math. Soc. 147 (2019), 1413-1419

DOI: https://doi.org/10.1090/proc/14401

Published electronically: January 9, 2019

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Abstract:

We prove two theorems that confirm an observation of Lubin concerning families of $p$-adic power series that commute under composition: under certain conditions, there is a formal group such that the power series in the family are either endomorphisms of this group or semiconjugate to endomorphisms of this group.

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