Minimal splitting fields in cyclotomic extensions

Spiegel, Eugene; Trojan, Allan

doi:10.1090/S0002-9939-1983-0677225-3

Minimal splitting fields in cyclotomic extensions

Authors: Eugene Spiegel and Allan Trojan
Journal: Proc. Amer. Math. Soc. 87 (1983), 33-37
MSC: Primary 20C05; Secondary 12A55
DOI: https://doi.org/10.1090/S0002-9939-1983-0677225-3
MathSciNet review: 677225
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Abstract: Suppose is a finite group of exponent and an irreducible character of . In this note we give sufficient conditions for the existence of a minimal degree splitting field with $Q(X) \subseteq L \subseteq Q({\zeta _n})$ .

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