On the Heights of elements in the Nottingham Group

Hua Chieh Li

doi:10.1080/00927872.2018.1455101

On the Heights of elements in the Nottingham Group

Hua Chieh Li^*

^*Corresponding author for this work

Department of Mathematics

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

1 Citation (Scopus)

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 language	English
Pages (from-to)	4777-4786
Number of pages	10
Journal	Communications in Algebra
Volume	46
Issue number	11
DOIs	https://doi.org/10.1080/00927872.2018.1455101
Publication status	Published - 2018 Nov 2

Keywords

Field of norms functor
Nottingham group
ramification subgroups
wild automorphisms

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927872.2018.1455101

Cite this

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On the Heights of elements in the Nottingham Group

Abstract

Keywords

ASJC Scopus subject areas

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