A note on dihedral polynomials of prime degree

Joan C. Lario; Marc Masdeu

A note on dihedral polynomials of prime degree

Joan C. Lario^*, Marc Masdeu

^*Corresponding author for this work

Department of Mathematics

Universitat Politècnica de Catalunya (UPC)

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

Abstract

We present an algorithm to determine all roots of a prime degree p polynomial with dihedral Galois group D _2p as rational functions of any two of them. This must be seen as an effective version of a more general result of Galois valid for prime degree equations with solvable group.

Original language	English
Pages (from-to)	295-300
Number of pages	6
Journal	Indian Journal of Pure and Applied Mathematics
Volume	36
Issue number	6
Publication status	Published - Jun 2005

Keywords

Computational Number Theory
Galois Theory

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https://mat.uab.cat/~masdeu/files/papers/dihedral.pdfLicence: Unspecified

Cite this

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title = "A note on dihedral polynomials of prime degree",

abstract = "We present an algorithm to determine all roots of a prime degree p polynomial with dihedral Galois group D 2p as rational functions of any two of them. This must be seen as an effective version of a more general result of Galois valid for prime degree equations with solvable group.",

keywords = "Computational Number Theory, Galois Theory",

author = "Lario, \{Joan C.\} and Marc Masdeu",

year = "2005",

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language = "English",

volume = "36",

pages = "295--300",

journal = "Indian Journal of Pure and Applied Mathematics",

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publisher = "Indian National Science Academy",

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AU - Lario, Joan C.

AU - Masdeu, Marc

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AB - We present an algorithm to determine all roots of a prime degree p polynomial with dihedral Galois group D 2p as rational functions of any two of them. This must be seen as an effective version of a more general result of Galois valid for prime degree equations with solvable group.

KW - Computational Number Theory

KW - Galois Theory

UR - https://www.scopus.com/pages/publications/28244488700

M3 - Article

AN - SCOPUS:28244488700

SN - 0019-5588

VL - 36

SP - 295

EP - 300

JO - Indian Journal of Pure and Applied Mathematics

JF - Indian Journal of Pure and Applied Mathematics

IS - 6

ER -

A note on dihedral polynomials of prime degree

Abstract

Keywords

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Cite this