Irreducible constituents of faithful induced characters
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- by I. M. Isaacs PDF
- Proc. Amer. Math. Soc. 128 (2000), 3471-3474 Request permission
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.References
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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
- 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
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 3471-3474
- MSC (2000): Primary 20C15
- DOI: https://doi.org/10.1090/S0002-9939-00-05525-8
- MathSciNet review: 1694864