The Galois group of a radical extension of the rationals

Eliot T. Jacobson, William Yslas Velez

Research output: Contribution to journalArticle

3 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)271-284
Number of pages14
JournalManuscripta Mathematica
Volume67
Issue number1
DOIs
StatePublished - Dec 1990

Fingerprint

Splitting Field
Galois group
Cyclic group
Subgroup

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

The Galois group of a radical extension of the rationals. / Jacobson, Eliot T.; Velez, William Yslas.

In: Manuscripta Mathematica, Vol. 67, No. 1, 12.1990, p. 271-284.

Research output: Contribution to journalArticle

@article{139da6b0884f4ee4955a15f86540e89f,
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 Velez, {William Yslas}",
year = "1990",
month = "12",
doi = "10.1007/BF02568433",
language = "English (US)",
volume = "67",
pages = "271--284",
journal = "Manuscripta Mathematica",
issn = "0025-2611",
publisher = "Springer New York",
number = "1",

}

TY - JOUR

T1 - The Galois group of a radical extension of the rationals

AU - Jacobson, Eliot T.

AU - Velez, William Yslas

PY - 1990/12

Y1 - 1990/12

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.

UR - http://www.scopus.com/inward/record.url?scp=51249172632&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=51249172632&partnerID=8YFLogxK

U2 - 10.1007/BF02568433

DO - 10.1007/BF02568433

M3 - Article

AN - SCOPUS:51249172632

VL - 67

SP - 271

EP - 284

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

SN - 0025-2611

IS - 1

ER -