### 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) |
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Pages (from-to) | 117-120 |

Number of pages | 4 |

Journal | Pacific Journal of Mathematics |

Volume | 78 |

Issue number | 1 |

State | Published - 1978 |

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Gay, D., & Velez, W. Y. (1978). On the degree of the splitting field of an irreducible binomial.

*Pacific Journal of Mathematics*,*78*(1), 117-120.