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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On induced characters


Author: Yakov Berkovich
Journal: Proc. Amer. Math. Soc. 121 (1994), 679-685
MSC: Primary 20C15
MathSciNet review: 1203979
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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 $ \vert{\text{Irr}}({\varphi ^G})\vert > \vert G:H\vert/4$ then $ G/H$ is solvable.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1203979-0
PII: S 0002-9939(1994)1203979-0
Article copyright: © Copyright 1994 American Mathematical Society