Brauer trees of unipotent blocks

Raphaël Rouquier; David Craven; Olivier Dudas

doi:10.4171/JEMS/978

Brauer trees of unipotent blocks

Raphaël Rouquier, David Craven, Olivier Dudas

Mathematics

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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 ℓ-blocks of finite groups are known for ℓ>71.

Original language	English
Pages (from-to)	2821-2877
Number of pages	57
Journal	Journal of the European Mathematical Society
Volume	22
Issue number	9
Early online date	15 Jun 2020
DOIs	https://doi.org/10.4171/JEMS/978
Publication status	E-pub ahead of print - 15 Jun 2020

Keywords

Group of Lie type
unipotent block
Brauer tree

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10.4171/JEMS/978Licence: None: All rights reserved

Rouquier_et_al_Brauer_trees_of_unipotent_blocks_JEMS_2018
This document is the Author Accepted Manuscript version of a published work which appears in its final form in Journal of the European Mathematical Society, copyright © 2020 EMS Publishing House. All rights reserved. The final Version of Record can be found at: https://doi.org/10.4171/JEMS/978
Accepted author manuscript, 721 KBLicence: None: All rights reserved

Cite this

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title = "Brauer trees of unipotent blocks",

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 ℓ-blocks of finite groups are known for ℓ>71.",

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T1 - Brauer trees of unipotent blocks

AU - Rouquier, Raphaël

AU - Craven, David

AU - Dudas, Olivier

PY - 2020/6/15

Y1 - 2020/6/15

N2 - 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 ℓ-blocks of finite groups are known for ℓ>71.

AB - 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 ℓ-blocks of finite groups are known for ℓ>71.

KW - Group of Lie type

KW - unipotent block

KW - Brauer tree

UR - https://www.ems-ph.org/journals/forthcoming.php?jrn=jems

UR - https://arxiv.org/abs/1701.07097

UR - https://www.ems-ph.org/journals/journal.php?jrn=jems

U2 - 10.4171/JEMS/978

DO - 10.4171/JEMS/978

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VL - 22

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EP - 2877

JO - Journal of the European Mathematical Society

JF - Journal of the European Mathematical Society

IS - 9

ER -

Brauer trees of unipotent blocks

Abstract

Keywords

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