The Galois group of a radical extension of the rationals

Eliot T. Jacobson; William Y. Vélez

doi:10.1007/BF02568433

The Galois group of a radical extension of the rationals

Eliot T. Jacobson
, William Y. Vélez

Mathematics

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

5 Scopus citations

Abstract

The Galois group of the splitting field of an irreducible binomial x^{2 e} -a over Q is computed explicitly as a full subgroup of the holomorph of the cyclic group of order 2^e . The general case xⁿ -a is also effectively computed.

Original language	English (US)
Pages (from-to)	271-284
Number of pages	14
Journal	manuscripta mathematica
Volume	67
Issue number	1
DOIs	https://doi.org/10.1007/BF02568433
State	Published - Dec 1990

ASJC Scopus subject areas

General Mathematics

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title = "The Galois group of a radical extension of the rationals",

abstract = "The Galois group of the splitting field of an irreducible binomial x 2 e -a over Q is computed explicitly as a full subgroup of the holomorph of the cyclic group of order 2 e . The general case x n -a is also effectively computed.",

author = "Jacobson, \{Eliot T.\} and V{\'e}lez, \{William Y.\}",

year = "1990",

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AU - Jacobson, Eliot T.

AU - Vélez, William Y.

PY - 1990/12

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N2 - The Galois group of the splitting field of an irreducible binomial x 2 e -a over Q is computed explicitly as a full subgroup of the holomorph of the cyclic group of order 2 e . The general case x n -a is also effectively computed.

AB - The Galois group of the splitting field of an irreducible binomial x 2 e -a over Q is computed explicitly as a full subgroup of the holomorph of the cyclic group of order 2 e . The general case x n -a is also effectively computed.

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JO - manuscripta mathematica

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The Galois group of a radical extension of the rationals

Abstract

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