Ramification filtrations of certain abelian Lie extensions of local fields

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3 引文 斯高帕斯(Scopus)

摘要

Let G ⊂ xFq [x] (q is a power of the prime p) be a subset of formal power series over a finite field such that it forms a compact abelian p-adic Lie group of dimension d ≥ 1. We establish a necessary and sufficient condition for the APF extension of local field corresponding to (Fq(x), G) under the field of norms functor to be an extension of p-adic fields. We then apply this result to study invertible power series over a ring of p-adic integers which commute with a fixed noninvertible power series under composition.

原文英語
頁(從 - 到)135-153
頁數19
期刊Journal of Number Theory
168
DOIs
出版狀態已發佈 - 2016 十一月 1

ASJC Scopus subject areas

  • Algebra and Number Theory

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