Fields generated by linear combinations of roots of unity
Authors: R. J. Evans and I. M. Isaacs
Journal: Trans. Amer. Math. Soc. 229 (1977), 249-258
MSC: Primary 12F05
MathSciNet review: 0437509
Abstract: It is shown that a linear combination of roots of unity with rational coefficients generates a large subfield of the field generated by the set of roots of unity involved, except when certain partial sums vanish. Some related results about polygons with all sides and angles rational are also proved.
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