Eigenvalues and elementary divisors of Cartan matrices of cyclic blocks with \(l(B)\leqslant 5\) and tame blocks.

DOI10.1016/J.JALGEBRA.2004.07.020zbMath1070.20014OpenAlexW2058661908MaRDI QIDQ706018

Tomoyuki Wada

Publication date: 16 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.07.020

zbMATH Keywords

Cartan matricesdefect groupsblocks

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (4)

Eigenvector matrices of Cartan matrices for finite groups. ⋮ A counterexample to a conjecture of Wada ⋮ Eigenvalues of Cartan matrices of principal 3-blocks of finite groups with Abelian Sylow 3-subgroups. ⋮ Eigenvalues of Cartan matrices of principal 2-blocks with Abelian defect groups.

Cites Work

• Blocks of tame representation type and related algebras
• Rationality of eigenvalues of Cartan matrices in finite groups
• Sone remarks on eigeyvalues of the cartan matrix in finite groups
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