An alternating sum for Hochschild cohomology of a block

DOI10.1006/JABR.2001.9066zbMath1009.20012OpenAlexW2088586394MaRDI QIDQ1614635

Burkhard Külshammer, Geoffrey R. Robinson

Publication date: 8 September 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.9066

zbMATH Keywords

finite groupsHochschild cohomologydefect groupssubpairscontrol of fusionblocks of group algebraschains of \(p\)-subgroups

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

Related Items (2)

Bounds for Hochschild cohomology of block algebras. ⋮ The Lie algebra structure of the degree one Hochschild cohomology of the blocks of the sporadic Mathieu groups

Cites Work

• A split exact sequence of Mackey functors
• On blocks with Frobenius inertial quotient.
• Extensions of nilpotent blocks
• Extensions ofP-Groups and construction of characters
• Some Remarks on a Conjecture of Alperin
• The Hochschild cohomology ring of a cyclic block

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