Geodesic
Finite Simple Groups Admitting Minimally Irreducible Characters of Prime Power Degree
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 613-621
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In this paper we classify the finite simple groups that admit an irreducible complex character of prime power degree which is reducible over any proper sub-group. 
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     author = {Pellegrini, Marco Antonio},
     title = {Finite {Simple} {Groups} {Admitting} {Minimally} {Irreducible} {Characters} of {Prime} {Power} {Degree}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {613--621},
     year = {2007},
     volume = {Ser. 8, 10B},
     number = {3},
     zbl = {1167.20306},
     mrnumber = {2351533},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a9/}
}
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Pellegrini, Marco Antonio. Finite Simple Groups Admitting Minimally Irreducible Characters of Prime Power Degree. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 613-621. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a9/