Vertex and source determine the block variety of an indecomposable module.

DOI10.1016/j.jpaa.2004.08.032zbMath1070.20013OpenAlexW2069331393MaRDI QIDQ1772244

Markus Linckelmann, David John Benson

Publication date: 18 April 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: http://openaccess.city.ac.uk/1906/1/var-vertex-source.pdf

zbMATH Keywords

idempotentsdefect groupsgroup cohomologyblocksverticessourcesblock varietiescohomology varieties

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 (3)

Support varieties for transporter category algebras. ⋮ Blocks and support varieties. ⋮ Cohomology algebras of blocks of finite groups and Brauer correspondence. II.

Cites Work

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• The varieties and the cohomology ring of a module
• Local methods in block theory
• The variety of an indecomposable module is connected
• Modular representation theory: New trends and methods
• Local fusions in block source algebras
• Characters and local structure in G-algebras
• Brauer coefficients of p-subgroups associated with a p-block of a finite group
• Varieties in block theory
• Transfer in Hochschild cohomology of blocks of finite groups
• The source algebras of blocks with a Klein four defect group
• Quillen stratification for block varieties.
• On splendid derived and stable equivalences between blocks and finite groups

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