When is a p-adic power series an endomorphism of a formal group?

Hua Chieh Li

doi:10.1090/S0002-9939-96-03308-4

When is a p-adic power series an endomorphism of a formal group?

Hua Chieh Li

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

If f (x) is a noninvertible endomorphism of a formal group, then we have that f (x) commutes with an invertible series and Ō[[x]] is Galois over Ō[[fⁿ(x)]] for all n ∈ N. We shall prove that the converse of this statement is also true.

Original language	English
Pages (from-to)	2325-2329
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	124
Issue number	8
DOIs	https://doi.org/10.1090/S0002-9939-96-03308-4
Publication status	Published - 1996

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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@article{8d5ac74a8b3c4e3aa55a7ac52baf82c1,

title = "When is a p-adic power series an endomorphism of a formal group?",

abstract = "If f (x) is a noninvertible endomorphism of a formal group, then we have that f (x) commutes with an invertible series and Ō[[x]] is Galois over Ō[[fn(x)]] for all n ∈ N. We shall prove that the converse of this statement is also true.",

author = "Li, {Hua Chieh}",

year = "1996",

doi = "10.1090/S0002-9939-96-03308-4",

language = "English",

volume = "124",

pages = "2325--2329",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",