Cartan matrices for blocks of finite p-solvable groups with two simple modules

DOI10.1016/0021-8693(91)90268-DzbMath0733.20001MaRDI QIDQ810136

Tomoyuki Wada, Yasushi Ninomiya

Publication date: 1991

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

zbMATH Keywords

Cartan matrixsimple modulesverticesdefect groupelementary divisorsprincipal blockp-blockfinite p-solvable group

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (5)

Rationality of eigenvalues of Cartan matrices in finite groups ⋮ Variations of Landau's theorem for \(p\)-regular and \(p\)-singular conjugacy classes. ⋮ Groups with one or two super-Brauer character theories ⋮ Finite groups with exactly three \(p\)-regular classes ⋮ Sone remarks on eigeyvalues of the cartan matrix in finite groups

Cites Work

• Relations between complexity and modular invariants and consequences for p-soluble groups
• On blocks of twisted group algebras
• Algebras and quaternion defect groups. I, II
• On 2-blocks with wreathed defect groups
• A remark on blocks with dihedral defect groups in solvable groups
• A lower bound for the number of irreducible characters in a block
• On 2-blocks with quaternion and quasihedral defect groups
• Dihedral defect groups
• p-solvable doubly transitive permutation groups
• Solvable Groups and Modular Representation Theory
• Groups with two projective characters
• Algebras and Semidihedral Defect Groups I
• Structure of р-Solvable Groups With Three р-Regular Classes
• Notes on Representations of Finite Groups, I
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