Geodesic
Finite Groups with Nonmonomial Characters of Prime Degree
Matematičeskie zametki, Tome 74 (2003) no. 5, pp. 713-718

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that every finite group for which the degrees of its nonmonomial characters are primes is solvable. The proof uses the classification of the finite simple groups. 
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     author = {I. A. Sagirov},
     title = {Finite {Groups} with {Nonmonomial} {Characters} of {Prime} {Degree}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {713--718},
     publisher = {mathdoc},
     volume = {74},
     number = {5},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2003_74_5_a6/}
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I. A. Sagirov. Finite Groups with Nonmonomial Characters of Prime Degree. Matematičeskie zametki, Tome 74 (2003) no. 5, pp. 713-718. http://geodesic.mathdoc.fr/item/MZM_2003_74_5_a6/