In this note, we study finite groups possessing exactly one nonlinear non-faithful irreducible character. Our main result is to classify solvable groups that satisfy this property. Also, we give examples to show that these groups need not to be solvable in general.
@article{bwmeta1.element.doi-10_2478_s11533-013-0327-4,
author = {Amin Saeidi},
title = {Classification of solvable groups possessing a unique nonlinear non-faithful irreducible character},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {79-83},
zbl = {1287.20013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0327-4}
}
Amin Saeidi. Classification of solvable groups possessing a unique nonlinear non-faithful irreducible character. Open Mathematics, Tome 12 (2014) pp. 79-83. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0327-4/
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