Minimal splitting fields in cyclotomic extensions
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- by Eugene Spiegel and Allan Trojan PDF
- Proc. Amer. Math. Soc. 87 (1983), 33-37 Request permission
Abstract:
Suppose $G$ is a finite group of exponent $n$ and $X$ an irreducible character of $G$. In this note we give sufficient conditions for the existence of a minimal degree splitting field $L$ with $Q(X) \subseteq L \subseteq Q({\zeta _n})$.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- 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