A criterion for Lubin’s conjecture

We prove that a formulation of a conjecture of Lubin regarding two power series commuting for the composition is equivalent to a criterion of checking that some extensions generated by the nonarchimedean dynamical system arising from the power series are Galois. As a consequence of this criterion, w...

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Veröffentlicht in:Rendiconti - Seminario matematico della Università di Padova 2024-04
1. Verfasser: Poyeton, Léo
Format: Artikel
Sprache:eng
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Zusammenfassung:We prove that a formulation of a conjecture of Lubin regarding two power series commuting for the composition is equivalent to a criterion of checking that some extensions generated by the nonarchimedean dynamical system arising from the power series are Galois. As a consequence of this criterion, we obtain a proof of Lubin’s conjecture in a new case.
ISSN:0041-8994
2240-2926
DOI:10.4171/rsmup/161