On blocks with Frobenius inertial quotient.

DOI10.1006/jabr.2001.9058zbMath1118.20014OpenAlexW2023691836MaRDI QIDQ1614631

Markus Linckelmann, Radha Kessar

Publication date: 8 September 2002

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

Full work available at URL: http://openaccess.city.ac.uk/1910/1/frobenius.pdf

zbMATH Keywords

group algebrasHochschild cohomologyprimitive idempotentssymmetric algebrasTate cohomologyblock algebrasAbelian defect groupsstable centres

Mathematics Subject Classification ID

Modular representations and characters (20C20) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items

An alternating sum for Hochschild cohomology of a block, Cartan matrices and Brauer's \(k(B)\)-conjecture V, Survey on perfect isometries, A characterization of saturated fusion systems over Abelian 2-groups., Finite groups with two conjugacy classes ofp-elements and related questions forp-blocks, On Loewy lengths of blocks, Cartan matrices and Brauer's \(k(B)\)-conjecture. III., On 2-blocks with \(k(B)-l(B)=1\).

Cites Work

• Local methods in block theory
• On the vanishing of group cohomology
• Local properties of p-block algebras of finite groups
• Quelques remarques sur un thème de Knörr. (Some remarks on a theme of Knörr)
• Pointed groups and construction of modules
• A Frobenius theorem for blocks
• Brauer coefficients of p-subgroups associated with a p-block of a finite group
• Pointed groups and construction of characters
• On the local structure of Morita and Rickard equivalences between Brauer blocks
• Transfer in Hochschild cohomology of blocks of finite groups
• On blocks with one simple module in any Brauer correspondent
• Some remarks on defect groups
• Defect groups in the theory of representations of finite groups
• A note on blocks of characters of a finite group
• Une correspondance de modules pour les blocs à groupes de défaut abéliens. (A module correspondence for the blocks of groups with abelian defect)
• Lower defect groups
• Hochschild cohomology of brauer tree algebras
• Twisted bimodules and Hochschild cohomology for self-injective algebras of class An
• The hochschild cohomology ring of a modular group algebra: the commutative case
• The Hochschild cohomology ring of a cyclic block
• On the Modular Group Ring of a p-Group
• A Characteristic Subgroup of a p-Stable Group
• Finite Groups the Centralizers of whose involutions have Normal 2-Complements
• Endliche Gruppen I
• On the Hochschild cohomology of commutative Hopf algebras
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