Arboreal Galois representation for a certain type of quadratic polynomials

Hua Chieh Li

doi:10.1007/s00013-019-01390-x

Arboreal Galois representation for a certain type of quadratic polynomials

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

We give a description of the arboreal Galois representation of a quadratic polynomial f(x) = x²- (4 k+ 1) , where k∈ N and 4 k+ 1 is not a square in Z.

原文	英語
頁（從 - 到）	265-269
頁數	5
期刊	Archiv der Mathematik
卷	114
發行號	3
DOIs	https://doi.org/10.1007/s00013-019-01390-x
出版狀態	已發佈 - 2020 3月 1

ASJC Scopus subject areas

一般數學

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10.1007/s00013-019-01390-x

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引用此

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title = "Arboreal Galois representation for a certain type of quadratic polynomials",

abstract = "We give a description of the arboreal Galois representation of a quadratic polynomial f(x) = x2- (4 k+ 1) , where k∈ N and 4 k+ 1 is not a square in Z.",

keywords = "Arboreal Galois representation, Kummer extension, Wreath product",

author = "Li, \{Hua Chieh\}",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.",

year = "2020",

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day = "1",

doi = "10.1007/s00013-019-01390-x",

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AB - We give a description of the arboreal Galois representation of a quadratic polynomial f(x) = x2- (4 k+ 1) , where k∈ N and 4 k+ 1 is not a square in Z.

KW - Arboreal Galois representation

KW - Kummer extension

KW - Wreath product

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Arboreal Galois representation for a certain type of quadratic polynomials

摘要

ASJC Scopus subject areas

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