Inertial blocks and equivariant basic Morita equivalences

DOI10.1016/J.JALGEBRA.2021.02.019OpenAlexW3136578926MaRDI QIDQ2664479

Yuanyang Zhou

Publication date: 20 April 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2021.02.019

zbMATH Keywords

finite groupsequivariantbasic Morita equivalencesinertial blocks

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Linear and multilinear algebra; matrix theory (15-XX)

Related Items (1)

Alperin weight conjecture and related developments

Cites Work

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• The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups and odd primes
• Nilpotent extensions of blocks.
• Block source algebras in \(p\)-solvable groups.
• Local fusions in block source algebras
• Nilpotent blocks and their source algebras
• Pointed groups and construction of modules
• Pointed groups and construction of characters
• On the local structure of Morita and Rickard equivalences between Brauer blocks
• Extensions of nilpotent blocks
• \(G\)-algebras, Clifford theory, and the Green correspondence
• 2-blocks with abelian defect groups.
• On the Glauberman and Watanabe correspondences for blocks of finite $p$-solvable groups

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