Finite Groups with Nonmonomial Characters of Prime Degree
Matematičeskie zametki, Tome 74 (2003) no. 5, pp. 713-718
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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.
@article{MZM_2003_74_5_a6,
author = {I. A. Sagirov},
title = {Finite {Groups} with {Nonmonomial} {Characters} of {Prime} {Degree}},
journal = {Matemati\v{c}eskie zametki},
pages = {713--718},
year = {2003},
volume = {74},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2003_74_5_a6/}
}
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/
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