Cohomology algebras of 2-blocks of finite groups with defect groups of rank two.

DOI10.1016/J.JALGEBRA.2006.06.042zbMath1118.20050OpenAlexW2066046912MaRDI QIDQ858704

Hiroki Sasaki, Hiroaki Kawai

Publication date: 11 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.06.042

zbMATH Keywords

finite groupsHochschild cohomologygroup cohomologyBrauer correspondenceblock algebrastransfer mapscorestriction maps\(2\)-blocks

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Modular representations and characters (20C20) Cohomology of groups (20J06)

Cites Work

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• On 2-blocks with wreathed defect groups
• Classification of \(BG\) for groups with dihedral or quaternion Sylow 2- subgroups
• Blocks of tame representation type and related algebras
• On 2-blocks with quaternion and quasihedral defect groups
• Transfer in Hochschild cohomology of blocks of finite groups
• A derived equivalence for blocks with dihedral defect groups
• Derived equivalent tame blocks
• On subpairs and modular representation theory
• Local control in fusion systems of \(p\)-blocks of finite groups.
• Some properties of finite groups with wreathed Sylow 2-subgroup
• The mod 2 cohomology algebras of finite groups with semidihedral sylow 2-subgroups
• The mod 2 cohomology algebras of finite groups with dihedral sylow 2-subgroups
• On finite groups whose 2-Sylow subgroups have cyclic subgroups of index 2
• Finite Groups with Quasi-Dihedral and Wreathed Sylow 2-Subgroups
• On splendid derived and stable equivalences between blocks and finite groups
• Relative projectivity of modules and cohomology theory of finite groups

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