On the representations of disconnected reductive groups over Fq

Abstract

Let G be the semidirect product of a connected reductive group G over Fq with a finite cyclic group generated by a quasisemisimple automorphism of G defined over Fq. In this paper we prove a conjecture of G. Malle concerning the extensions of unipotent representations of G(Fq) to G(Fq).

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