JournalsjemsVol. 22, No. 9pp. 2821–2877

Brauer trees of unipotent blocks

  • David A. Craven

    University of Birmingham, UK
  • Olivier Dudas

    Université Paris Diderot Paris 7, France
  • Raphaël Rouquier

    University of California, Los Angeles, USA
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Abstract

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 in [19]. As a consequence, the Brauer trees of principal \ell-blocks of finite groups are known for >71\ell > 71.

Cite this article

David A. Craven, Olivier Dudas, Raphaël Rouquier, Brauer trees of unipotent blocks. J. Eur. Math. Soc. 22 (2020), no. 9, pp. 2821–2877

DOI 10.4171/JEMS/978