Group graded basic Morita equivalences and the Harris-Knörr correspondence

DOI10.1515/jgth-2019-0132zbMath1471.20007OpenAlexW2999766363WikidataQ126336070 ScholiaQ126336070MaRDI QIDQ778141

Andrei Marcus

Publication date: 1 July 2020

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth-2019-0132

zbMATH Keywords

blockMorita equivalencedefect groupHarris-Knörr correspondenceBrauer mapClifford extension

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) Graded rings and modules (associative rings and algebras) (16W50)

Related Items

Blockwise relations between triples, and derived equivalences for wreath products

Cites Work

• Endoisomorphisms and character triple isomorphisms
• Block source algebras in \(p\)-solvable groups.
• Characters and local structure in G-algebras
• Block extensions
• On the local structure of Morita and Rickard equivalences between Brauer blocks
• Group graded basic Morita equivalences
• Fusions and Clifford extensions
• Extensions of nilpotent blocks
• Reduction theorems for some global-local conjectures
• Remarks on the extended Brauer quotient
• A local property of basic Morita equivalences.
• G-Algebras and Clifford Extensions of Points
• The Block Theory of Finite Group Algebras
• Brauer correspondence for covering blocks of finite groups
• Twisted group algebras, normal subgroups and derived equivalences
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