On induced characters
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- by Yakov Berkovich PDF
- Proc. Amer. Math. Soc. 121 (1994), 679-685 Request permission
Abstract:
Suppose that H is a normal subgroup of a finite group G, $\varphi \in {\text {Irr}}(H)$, and ${\text {Irr}}({\varphi ^G})$ is the set of all irreducible constituents of the induced character ${\varphi ^G}$. If $|{\text {Irr}}({\varphi ^G})| > |G:H|/4$ then $G/H$ is solvable.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 121 (1994), 679-685
- MSC: Primary 20C15
- DOI: https://doi.org/10.1090/S0002-9939-1994-1203979-0
- MathSciNet review: 1203979