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 correspondiente de este trabajo

Departamento de Matemáticas

Universitat Politècnica de Catalunya (UPC)

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

Resumen

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	Inglés
Páginas (desde-hasta)	295-300
Número de páginas	6
Publicación	Indian Journal of Pure and Applied Mathematics
Volumen	36
N.º	6
Estado	Publicada - jun 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",

volume = "36",

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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KW - Computational Number Theory

KW - Galois Theory

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