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arxiv: 1702.06037 · v3 · pith:EMCJOVWWnew · submitted 2017-02-20 · 🧮 math.NT

Nonarchimedean dynamical systems and formal groups

classification 🧮 math.NT
keywords groupendomorphismsformalpowerseriesunderadiccertain
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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 semi-conjugate to endomorphisms of this group.

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