On determinants of Cartan matrices of p-blocks

DOI10.3792/pjaa.56.401zbMath0464.20006OpenAlexW1981438897MaRDI QIDQ1153979

Mitsuo Fujii

Publication date: 1980

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.56.401

zbMATH Keywords

Cartan matrixdefect groupp-regular conjugacy classesirreducible modular charactersp-block of a finite group

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Related Items

Representations of finite groups, The Alperin-McKay Conjecture for metacyclic, minimal non-abelian defect groups, 2-blocks with minimal nonabelian defect groups., Cartan matrices and Brauer's \(k(B)\)-conjecture. II., Finite groups with two conjugacy classes ofp-elements and related questions forp-blocks, Cartan matrices and Brauer's \(k(B)\)-conjecture. III., Cartan matrices and Brauer's \(k(B)\)-conjecture., The 2-blocks of defect 4, On 2-blocks with \(k(B)-l(B)=1\).

Cites Work

• A remark on the Cartan matrix of a certain p-block
• Defect groups in the theory of representations of finite groups
• On Blocks and Sections in Finite Groups. I
• On the Arithmetic in a Group Ring
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