An extension theorem for characters
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- by Stephen M. Gagola PDF
- Proc. Amer. Math. Soc. 83 (1981), 25-26 Request permission
Abstract:
If $N$ is a normal subgroup of the finite group $G$ and $\psi$ is an irreducible complex character of $N$ that is invariant in $G$, then $\psi$ is extendible to a character of $G$ if $(\left | {G:N} \right |,\left | N \right |/\psi (1)) = 1$References
- Larry Dornhoff, Group representation theory. Part A: Ordinary representation theory, Pure and Applied Mathematics, vol. 7, Marcel Dekker, Inc., New York, 1971. MR 0347959
- I. Martin Isaacs, Character theory of finite groups, Pure and Applied Mathematics, No. 69, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1976. MR 0460423
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 25-26
- MSC: Primary 20C15; Secondary 20C20
- DOI: https://doi.org/10.1090/S0002-9939-1981-0619973-5
- MathSciNet review: 619973