The Broué invariant of a \(p\)-permutation equivalence

DOI10.5802/ART.17MaRDI QIDQ6642829

Robert Boltje

Publication date: 25 November 2024

Published in: Annals of Representation Theory (Search for Journal in Brave)

zbMATH Keywords

blocks of finite groupsbisetssplendid Rickard equivalenceperfect isometry\(p\)-permutation equivalence

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20)

Cites Work

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• Bisets as categories and tensor product of induced bimodules.
• Strengthening the McKay conjecture to include local fields and local Schur indices.
• Biset functors for finite groups
• The Schur subgroup of a p-adic field
• New refinements of the McKay conjecture for arbitrary finite groups
• Descent of equivalences for blocks with Klein four defect groups
• The strengthened Alperin-McKay conjecture for \(p\)-solvable groups.
• The Schur subgroup of a 2-adic field
• The McKay conjecture and Galois automorphisms.
• The Block Theory of Finite Group Algebras
• Splendid Equivalences: Derived Categories and Permutation Modules
• Galois descent of equivalences between blocks of 𝑝-nilpotent groups
• The strengthened Broué abelian defect group conjecture for \(\mathrm{SL} (2,p^n)\) and \(\mathrm{GL} (2,p^n)\)
• Descent of splendid Rickard equivalences in alternating groups
• Descent of equivalences and character bijections

Related Items (2)

Descent of splendid Rickard equivalences in alternating groups ⋮ Descent of splendid Rickard equivalences in \(\mathrm{GL}_n (q)\)

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