The Brauer trees of unipotent blocks

The Brauer trees of unipotent blocks

In this paper we complete the determination of the Brauer trees of unipotent blocks (with cyclic defect groups) of finite groups of Lie type. These trees were conjectured by the first author. As a consequence, the Brauer trees of principal $\ell$-blocks of finite groups are known for $\ell>71$.

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Veröffentlicht in:Journal of the European Mathematical Society : JEMS 2019
Hauptverfasser: Craven, David A., Dudas, Olivier, Rouquier, Raphael
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Representation Theory
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Zusammenfassung:In this paper we complete the determination of the Brauer trees of unipotent blocks (with cyclic defect groups) of finite groups of Lie type. These trees were conjectured by the first author. As a consequence, the Brauer trees of principal $\ell$-blocks of finite groups are known for $\ell>71$.
ISSN:1435-9855
1435-9863