Extending group modules in a relatively prime case

DOI10.1007/BF01215493zbMath0523.16006MaRDI QIDQ1056812

Everett C. Dade

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173431

zbMATH Keywords

strongly graded ringsextendibility of latticelifting idempotents in endomorphism ringssplitting of Clifford extension

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Conditions on elements (16U99) Graded rings and modules (associative rings and algebras) (16W50) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (13)

Representations of finite groups ⋮ A note on the Glauberman-Watanabe corresponding blocks of finite groups with normal defect groups. ⋮ On the Bonnafé-Dat-Rouquier Morita equivalence ⋮ Clifford theory for projective modules over strongly graded rings ⋮ Support \(\tau\)-tilting modules and semibricks over group graded algebras ⋮ Character triples and equivalences over a group graded \(G\)-algebra ⋮ Derived equivalences and Dade's invariant conjecture ⋮ Fusions and Clifford extensions ⋮ Equivalences induced by graded bimodules ⋮ Clifford theory for Mackey algebras. ⋮ Extending Endo-monomial Modules ⋮ Broué's conjecture holds for principal 3-blocks with elementary Abelian defect group of order 9 ⋮ Clifford theory of characters in induced blocks

Cites Work

• Unnamed Item
• On the indecomposable representations of a finite group
• Twisted group algebras and Clifford extensions
• Extending irreducible modules
• Bemerkungen zur modularen Darstellungstheorie. I: Absolut unzerlegbare Moduln
• A transfer theorem for modular representations
• Isomorphisms of Clifford extensions
• Compounding Clifford's theory
• Relative module categories for finite groups
• Addendum to "Group-Graded Rings, Smash Products, and Group Actions"
• Extensions of group representations from a normal subgroup
• Twisted group algebras and their representations
• Endliche Gruppen I
• Resolutions and Periodicity

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