Symmetric Local Algebras with 5-Dimensional Center

DOI10.2307/2153960zbMath0758.16004OpenAlexW4238466705MaRDI QIDQ3989207

Burkhard Külshammer, M. Chlebowitz

Publication date: 28 June 1992

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2153960

zbMATH Keywords

defect groupscenterblocksfinite groupirreducible Brauer characterirreducible Frobenius characterssymmetric split local algebra

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Group rings (16S34) Modular representations and characters (20C20) Quasi-Frobenius rings (16L60) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (6)

On theorems of Brauer-Nesbitt and Brandt for characterizations of small block algebras ⋮ Finite-dimensional algebras not arising as blocks of group algebras ⋮ Unnamed Item ⋮ Finite groups with two conjugacy classes ofp-elements and related questions forp-blocks ⋮ Principal blocks with 5 irreducible characters ⋮ Unnamed Item

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