The simplicial complex of Brauer pairs of a finite reductive group

DOI10.1007/S00209-024-03579-5zbMATH Open1548.20087MaRDI QIDQ6614891

Damiano Rossi

Publication date: 8 October 2024

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

zbMATH Keywords

simplicial complexesfinite reductive groupsBrauer pairsgeneralised Harish-Chandra theory

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Modular representations and characters (20C20) Homological methods in group theory (20J05) Equivariant homotopy theory in algebraic topology (55P91)

Cites Work

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• Local methods in block theory
• Homotopy equivalence of posets with a group action
• Generic Sylow theorems for the reductive groups over finite fields
• Euler characteristics of groups: The \(p\)-fractional part
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• On blocks of finite reductive groups and twisted induction
• On unipotent blocks and their ordinary characters
• Homotopy equivalences between \(p\)-subgroup categories
• Local methods for blocks of finite simple groups
• Defect groups for finite groups of Lie type
• The Block Theory of Finite Group Algebras
• Representations of Finite Groups of Lie Type
• The Character Theory of Finite Groups of Lie Type
• Counting conjectures and \(e\)-local structures in finite reductive groups
• A local-global principle for unipotent characters

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A local-global principle for unipotent characters

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