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^*

^*Corresponding author for this work

Department of Mathematics

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

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	265-269
Number of pages	5
Journal	Archiv der Mathematik
Volume	114
Issue number	3
DOIs	https://doi.org/10.1007/s00013-019-01390-x
Publication status	Published - 2020 Mar 1

Keywords

Arboreal Galois representation
Kummer extension
Wreath product

ASJC Scopus subject areas

General Mathematics

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10.1007/s00013-019-01390-x

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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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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

Abstract

Keywords

ASJC Scopus subject areas

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