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Irreducible restriction and zeros of characters


Author: Gabriel Navarro
Journal: Proc. Amer. Math. Soc. 129 (2001), 1643-1645
MSC (2000): Primary 20C15
DOI: https://doi.org/10.1090/S0002-9939-00-05747-6
Published electronically: October 31, 2000
MathSciNet review: 1814092
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Abstract | References | Similar Articles | Additional Information

Abstract: Let $G$ be a finite group, let $N$ be normal in $G$ and suppose that $\chi $ is an irreducible complex character of $G$. Then $\chi_{N}$ is not irreducible if and only if $\chi$ vanishes on some coset of $N$ in $G$.


References [Enhancements On Off] (What's this?)

  • 1. M. Isaacs, Character Theory of Finite Groups, New York, Dover, 1994.

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Additional Information

Gabriel Navarro
Affiliation: Departament d’Àlgebra, Universitat de València, 461100 Burjassot, València, Spain
Address at time of publication: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Email: gabriel@uv.es, navarro@math.wisc.edu

DOI: https://doi.org/10.1090/S0002-9939-00-05747-6
Received by editor(s): September 28, 1999
Published electronically: October 31, 2000
Additional Notes: The author’s research was partially supported by DGICYT
Communicated by: Stephen D. Smith
Article copyright: © Copyright 2000 American Mathematical Society

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