In this paper we prove that the (non-trivial) irreducible complex unipotent characters of a finite classical group G of type Bm or Cm in odd characteristic are reducible over any proper subgroup of G, apart from very few notable exceptions.
DI MARTINO, L., Pellegrini, M., Weigel, T. (2009). Minimal irreducibility and the unipotent characters of groups of type Bm and Cm. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 8(3), 413-451 [10.1142/S0219498809003412].
Minimal irreducibility and the unipotent characters of groups of type Bm and Cm
DI MARTINO, LINO GIUSEPPE;PELLEGRINI, MARCO ANTONIO;WEIGEL, THOMAS STEFAN
2009
Abstract
In this paper we prove that the (non-trivial) irreducible complex unipotent characters of a finite classical group G of type Bm or Cm in odd characteristic are reducible over any proper subgroup of G, apart from very few notable exceptions.
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