In this paper we prove that the (non-trivial) irreducible complex unipotent characters of a finite classical group G of type B_m or C_m in odd characteristic are reducible over any proper subgroup of G, apart from very few notable exceptions.
Di Martino, L., Pellegrini, M. A., Weigel, T., MINIMAL IRREDUCIBILITY AND THE UNIPOTENT CHARACTERS OF GROUPS OF TYPE B_m AND C_m, <<JOURNAL OF ALGEBRA AND ITS APPLICATIONS>>, 2009; 08 (03): 413-451. [doi:10.1142/S0219498809003412] [http://hdl.handle.net/10807/55558]
MINIMAL IRREDUCIBILITY AND THE UNIPOTENT CHARACTERS OF GROUPS OF TYPE B_m AND C_m
Pellegrini, Marco Antonio;
2009
Abstract
In this paper we prove that the (non-trivial) irreducible complex unipotent characters of a finite classical group G of type B_m or C_m in odd characteristic are reducible over any proper subgroup of G, apart from very few notable exceptions.
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