On the degree of the splitting field of an irreducible binomial

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)117-120
Number of pages4
JournalPacific Journal of Mathematics
Volume78
Issue number1
Publication statusPublished - 1978

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ASJC Scopus subject areas

  • Mathematics(all)

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