Broué's abelian defect group conjecture for blocks with cyclic hyperfocal subgroups

DOI10.1112/BLMS.13051MaRDI QIDQ6614913

Kun Zhang, Xueqin Hu, Yuanyang Zhou

Publication date: 8 October 2024

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite group\(p\)-blockhyperfocal subgroupBroué's abelian defect group conjecture

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Cites Work

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• Quasi-isolated blocks and Brauer's height zero conjecture.
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• Pointed groups and construction of modules
• Characters and local structure in G-algebras
• Pointed groups and construction of characters
• On the local structure of Morita and Rickard equivalences between Brauer blocks
• Derived equivalences for group rings
• The hyperfocal subalgebra of a block
• Extensions of nilpotent blocks
• Derived categories and stable equivalence
• Blocks with cyclic hyperfocal subgroups
• On Picard groups of blocks of finite groups
• A splitting theorem for blocks
• A remark on a splitting theorem for blocks with Abelian defect groups
• Block theory via stable and Rickard equivalences
• Crossed products and blocks with normal defect groups
• A characterisation of nilpotent blocks
• The Block Theory of Finite Group Algebras
• The Block Theory of Finite Group Algebras

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