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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Nonarchimedean dynamical systems and formal groups


Author: Laurent Berger
Journal: Proc. Amer. Math. Soc. 147 (2019), 1413-1419
MSC (2010): Primary 11S82; Secondary 11S31, 32P05
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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Additional Information

Laurent Berger
Affiliation: UMPA de l’ENS de Lyon, UMR 5669 du CNRS, 69007 Lyon, France
Email: laurent.berger@ens-lyon.fr

DOI: https://doi.org/10.1090/proc/14401
Received by editor(s): November 27, 2017
Received by editor(s) in revised form: December 18, 2017, September 3, 2018, and September 5, 2018
Published electronically: January 9, 2019
Communicated by: Romyar T. Sharifi
Article copyright: © Copyright 2019 American Mathematical Society