Products of Irreducible Characters Having Complex-Valued Constituents

First, we prove that when a finite solvable group $G$ has a faithful irreducible character $\chi$ such that $\chi\overline{\chi}$ has two irreducible constituents, both must be real-valued. Then, we study the situation where $\chi\overline{\chi}$ has exactly three distinct nonprincipal irreducible...

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Bibliographic Details
Main Authors: Lisa R. Hendrixson, Mark L. Lewis
Format: Article
Language:English
Published: Aracne 2017-06-01
Series:Advances in Group Theory and Applications
Subjects:
Online Access:http://www.advgrouptheory.com/journal/Volumes/4/L.R.%20Hendrixson,%20M.L.%20Lewis%20-%20Products%20of%20irreducible%20characters%20having%20complex-valued%20constituents.pdf