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.
Articolo in rivista - Articolo scientifico
Finite groups of Lie type; classical groups; unipotent characters
English
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].
DI MARTINO, L; Pellegrini, M; Weigel, T
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/5723
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