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.
In questo lavoro si classificano i gruppi semplici finiti che ammettono un carattere complesso irriducibile avente grado la potenza di un primo e la cui restrizione ad ogni sottogruppo proprio è riducibile.
@article{BUMI_2007_8_10B_3_613_0,
author = {Marco Antonio Pellegrini},
title = {Finite Simple Groups Admitting Minimally Irreducible Characters of Prime Power Degree},
journal = {Bollettino dell'Unione Matematica Italiana},
volume = {10-A},
year = {2007},
pages = {613-621},
zbl = {1167.20306},
mrnumber = {2351533},
language = {en},
url = {http://dml.mathdoc.fr/item/BUMI_2007_8_10B_3_613_0}
}
Pellegrini, Marco Antonio. Finite Simple Groups Admitting Minimally Irreducible Characters of Prime Power Degree. Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007) pp. 613-621. http://gdmltest.u-ga.fr/item/BUMI_2007_8_10B_3_613_0/
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