Derived equivalences and Dade's invariant conjecture

DOI10.1006/JABR.1999.7982zbMath0944.20006OpenAlexW1966539478WikidataQ123247783 ScholiaQ123247783MaRDI QIDQ1965254

Andrei Marcus

Publication date: 17 September 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.7982

zbMATH Keywords

finite groupsequivariant mapsblocksGrothendieck groupsgraded ringssplendid equivalencesmodular representationsBroué's conjectureAbelian defect groupsderived module categoriesDade's invariant conjectureequivariant equivalences

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (1)

Equivariant splendid Rickard equivalences

Cites Work

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• Extending group modules in a relatively prime case
• Block extensions
• Counting characters in blocks with cyclic defect groups. I
• Extensions of nilpotent blocks
• Derived categories and stable equivalence
• On equivalences between blocks of group algebras: Reduction to the simple components
• Some Remarks on a Conjecture of Alperin
• Equivalences induced by graded bimodules
• Splendid Derived Equivalences for Blocks of Finite p -Solvable Groups
• Splendid Equivalences: Derived Categories and Permutation Modules

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