Irreducible restriction and zeros of characters
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- by Gabriel Navarro PDF
- Proc. Amer. Math. Soc. 129 (2001), 1643-1645 Request permission
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
- M. Isaacs, Character Theory of Finite Groups, New York, Dover, 1994.
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
- MR Author ID: 129760
- Email: gabriel@uv.es, navarro@math.wisc.edu
- 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
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 1643-1645
- MSC (2000): Primary 20C15
- DOI: https://doi.org/10.1090/S0002-9939-00-05747-6
- MathSciNet review: 1814092