Vol. 78, No. 1, 1978

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On the degree of the splitting field of an irreducible binomial

David Andrew Gay and William Yslas Vélez

Vol. 78 (1978), No. 1, 117–120
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.

Mathematical Subject Classification 2000
Primary: 12E10
Milestones
Received: 16 September 1977
Revised: 10 March 1978
Published: 1 September 1978
Authors
David Andrew Gay
William Yslas Vélez