Brou\'e's Conjecture for 2-blocks with elementary abelian defect groups of order 32

zbMath1495.20005arXiv2011.06793MaRDI QIDQ5863334

Benjamin Sambale, Cesare Giulio Ardito

Publication date: 11 March 2022

Full work available at URL: https://arxiv.org/abs/2011.06793

zbMATH Keywords

Morita equivalenceBroué's conjectureabelian defect group2-block

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Modular representations and characters (20C20)

Uses Software

• Unnamed Item

Cites Work

• Blocks of finite groups and their invariants.
• Classifying blocks with abelian defect groups of rank 3 for the prime 2
• On equivalences between blocks of group algebras: Reduction to the simple components
• 2-blocks whose defect group is homocyclic and whose inertial quotient contains a Singer cycle
• Notes on \(p\)-blocks of characters of finite groups
• Cartan matrices and Brauer's \(k(B)\)-conjecture. IV
• Perverse equivalences and Broué's conjecture.
• 2-blocks with abelian defect groups.
• Morita equivalence classes of blocks with elementary abelian defect groups of order 32
• Morita equivalence classes of $2$-blocks of defect three
• Crossed products and blocks with normal defect groups
• The Block Theory of Finite Group Algebras

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