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Irreducible constituents of faithful induced characters


Author: I. M. Isaacs
Journal: Proc. Amer. Math. Soc. 128 (2000), 3471-3474
MSC (2000): Primary 20C15
DOI: https://doi.org/10.1090/S0002-9939-00-05525-8
Published electronically: July 27, 2000
MathSciNet review: 1694864
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Abstract: Let $G$ be a finite group, and suppose $\chi $is a character of $G$ obtained by inducing an irreducible character of some subgroup of $G$. If $\chi $ is faithful, we show that some irreducible constituent of $\chi $ has a solvable kernel. This yields an improved version of a theorem of Evdokimov and Ponomarenko.


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Additional Information

I. M. Isaacs
Affiliation: Department of Mathematics, University of Wisconsin, 480 Lincoln Drive, Madison, Wisconsin 53706
Email: isaacs@math.wisc.edu

DOI: https://doi.org/10.1090/S0002-9939-00-05525-8
Received by editor(s): March 2, 1999
Published electronically: July 27, 2000
Additional Notes: This research was partially supported by the U.S. National Security Agency.
Communicated by: Stephen D. Smith
Article copyright: © Copyright 2000 American Mathematical Society