Une correspondance de modules pour les blocs à groupes de défaut abéliens. (A module correspondence for the blocks of groups with abelian defect)

DOI10.1007/BF00150403zbMath0724.20012MaRDI QIDQ2644760

Lluis Puig

Publication date: 1991

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

finite groupsendo-permutation modulestwisted group algebrasisometriesstable equivalencesmodule categoriesblocks with abelian defect groupsgroups of generalized charactersrelative covering exomorphismsslashed modules

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) Twisted and skew group rings, crossed products (16S35)

Related Items (13)

On blocks with Frobenius inertial quotient. ⋮ Gluing endo-permutation modules ⋮ Relative local control and the block source algebras ⋮ On Picard groups of blocks of finite groups ⋮ Nilpotent extensions of blocks. ⋮ Strong fusion control and stable equivalences. ⋮ The Broué conjecture for the faithful 3-blocks of 4.\(M_{22}\). ⋮ Finite-dimensional algebras arising as blocks of finite group algebras ⋮ Blocks with defect group \(\mathbb{Z}_{2^n} \times \mathbb{Z}_{2^n} \times \mathbb{Z}_{2^m}\) ⋮ The Dade group of a fusion system ⋮ The strong Frobenius numbers for cyclic defect blocks are equal to one ⋮ Source algebras of \(p\)-central group extensions ⋮ On stable equivalences with endopermutation source.

Cites Work

• Unnamed Item
• Derived equivalence for cyclic blocks over a \(p\)-adic ring
• Affirmative answer to a question of Feit.
• Local fusions in block source algebras
• Nilpotent blocks and their source algebras
• Pointed groups and construction of modules
• On p-blocks with Abelian defect groups and inertial index 2 or 3. II
• Characters and local structure in G-algebras
• Pointed groups and construction of characters
• Endo-permutation modules over p-groups. I
• Extensions of nilpotent blocks
• Derived categories and stable equivalence

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