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

^*Autor corresponent d’aquest treball

Departament de Matemàtiques

Universitat Politècnica de Catalunya

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Resum

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.

Idioma original	Anglès
Pàgines (de-a)	295-300
Nombre de pàgines	6
Revista	Indian Journal of Pure and Applied Mathematics
Volum	36
Número	6
Estat de la publicació	Publicada - de juny 2005

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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",

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pages = "295--300",

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

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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

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AN - SCOPUS:28244488700

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VL - 36

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JO - Indian Journal of Pure and Applied Mathematics

JF - Indian Journal of Pure and Applied Mathematics

IS - 6

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A note on dihedral polynomials of prime degree

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