Symmetric local algebras and small blocks of finite groups

DOI10.1016/0021-8693(84)90097-8zbMath0567.20007OpenAlexW1972747917MaRDI QIDQ1059712

Burkhard Külshammer

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90097-8

zbMATH Keywords

defect groupordinary irreducible charactersmodular irreducible charactersblock of the finite grouporder of the defect groupsymmetric local algebras

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items

On defects of characters and decomposition numbers, The Loewy structure of certain fixpoint algebras. I, The blocks with four irreducible characters, On theorems of Brauer-Nesbitt and Brandt for characterizations of small block algebras, Unnamed Item, The principal p‐blocks with four irreducible characters, Finite groups with two conjugacy classes ofp-elements and related questions forp-blocks, Finite-dimensional algebras arising as blocks of finite group algebras, On centers of blocks with one simple module, Blocks with transitive fusion systems, Principal blocks with 5 irreducible characters, Unnamed Item, On 2-blocks with \(k(B)-l(B)=1\).

Cites Work

• Remarks on the group algebra as symmetric algebra.
• A lower bound for the number of irreducible characters in a block
• On the structure of block ideals in group algebras of finite groups
• Unnamed Item