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Proceedings of the American Mathematical Society

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Rational nonlinear characters of metabelian groups


Author: B. G. Basmaji
Journal: Proc. Amer. Math. Soc. 85 (1982), 175-180
MSC: Primary 20C15
DOI: https://doi.org/10.1090/S0002-9939-1982-0652436-0
MathSciNet review: 652436
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Abstract: Let $ G$ be a finite metabelian group with all nonlinear irreducible characters rational. Then the exponent of the commutator group $ G'$ is a prime or divides 16, 24, or 40. If $ G'$ is also cyclic, then its order is a prime or divides 12.


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DOI: https://doi.org/10.1090/S0002-9939-1982-0652436-0
Keywords: Characters, real characters, rational characters, induced characters
Article copyright: © Copyright 1982 American Mathematical Society

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