### Abstract

Let x^{m}-a be irreducible over a field F. We give a new proof of Darbi’s formula for the degree of the splitting field of x^{m}-a and investigate some of its properties. We give a more explicit formula in case the only roots of unity in F are ±1.

Original language | English (US) |
---|---|

Pages (from-to) | 117-120 |

Number of pages | 4 |

Journal | Pacific Journal of Mathematics |

Volume | 78 |

Issue number | 1 |

State | Published - 1978 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Pacific Journal of Mathematics*,

*78*(1), 117-120.

**On the degree of the splitting field of an irreducible binomial.** / Gay, David; Velez, William Yslas.

Research output: Contribution to journal › Article

*Pacific Journal of Mathematics*, vol. 78, no. 1, pp. 117-120.

}

TY - JOUR

T1 - On the degree of the splitting field of an irreducible binomial

AU - Gay, David

AU - Velez, William Yslas

PY - 1978

Y1 - 1978

N2 - Let xm-a be irreducible over a field F. We give a new proof of Darbi’s formula for the degree of the splitting field of xm-a and investigate some of its properties. We give a more explicit formula in case the only roots of unity in F are ±1.

AB - Let xm-a be irreducible over a field F. We give a new proof of Darbi’s formula for the degree of the splitting field of xm-a and investigate some of its properties. We give a more explicit formula in case the only roots of unity in F are ±1.

UR - http://www.scopus.com/inward/record.url?scp=84972511822&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84972511822&partnerID=8YFLogxK

M3 - Article

VL - 78

SP - 117

EP - 120

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 1

ER -