On blocks of finite groups with central hyperfocal subgroups.

DOI10.1016/j.jalgebra.2012.07.006zbMath1268.20013OpenAlexW2011734156MaRDI QIDQ1945899

Atumi Watanabe

Publication date: 17 April 2013

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.07.006

zbMATH Keywords

Morita equivalencesfinite groupshyperfocal subgroupsBrauer categoriesisotypic blocksRouquier conjecture

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Related Items (5)

Blocks with Frobenius inertial quotients ⋮ Extensions of Rickard equivalences. ⋮ On some saturated triples and hyperfocal subgroups ⋮ Survey on perfect isometries ⋮ Domination of blocks, fusion systems and hyperfocal subgroups

Cites Work

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• Perfect isometries for blocks with abelian defect groups and Klein four inertial quotients
• Local methods in block theory
• On blocks of strongly \(p\)-solvable groups.
• Characters and local structure in G-algebras
• On the local structure of Morita and Rickard equivalences between Brauer blocks
• Relative local control and the block source algebras
• The hyperfocal subalgebra of a block
• Local control in fusion systems of \(p\)-blocks of finite groups.
• Notes on \(p\)-blocks of characters of finite groups
• Blocks with cyclic defect groups
• Hyperfocal subalgebras of blocks and computation of characters.
• Extensions of $p$-local finite groups
• Splendid Derived Equivalences for Blocks of Finite p -Solvable Groups
• On the Glauberman and Watanabe correspondences for blocks of finite $p$-solvable groups

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