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^*

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

1 引文斯高帕斯（Scopus）

摘要

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.

原文	英語
頁（從 - 到）	4777-4786
頁數	10
期刊	Communications in Algebra
卷	46
發行號	11
DOIs	https://doi.org/10.1080/00927872.2018.1455101
出版狀態	已發佈 - 2018 11月 2

ASJC Scopus subject areas

代數與數理論

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10.1080/00927872.2018.1455101

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引用此

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title = "On the Heights of elements in the Nottingham Group",

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.",

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AB - 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.

KW - Field of norms functor

KW - Nottingham group

KW - ramification subgroups

KW - wild automorphisms

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UR - https://www.scopus.com/pages/publications/85045843750#tab=citedBy

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On the Heights of elements in the Nottingham Group

摘要

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