On the Heights of elements in the Nottingham Group

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Abstract

In this note, we define the height of an element in the Nottingham group and use heights to determine which abelian subgroups of the Nottingham group correspond to (Formula presented.) -extensions of characteristic 0 local fields by the field of norms functor. As an application, we use the result to estimate the size of the normalizer of these abelian subgroups.

Original languageEnglish
Pages (from-to)4777-4786
Number of pages10
JournalCommunications in Algebra
Volume46
Issue number11
DOIs
Publication statusPublished - 2018 Nov 2

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Keywords

  • Field of norms functor
  • Nottingham group
  • ramification subgroups
  • wild automorphisms

ASJC Scopus subject areas

  • Algebra and Number Theory

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