A lower bound of the Perron-Frobenius eigenvalue of the Cartan matrix of a finite group

DOI10.1007/S000130050416zbMath0959.20013OpenAlexW2016062792MaRDI QIDQ1969085

Tomoyuki Wada

Publication date: 1 May 2001

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050416

zbMATH Keywords

finite groupsCartan matricesdefect groups\(p\)-solvable groupsirreducible Brauer charactersdecomposition matricesspectral radiinumbers of complex irreducible charactersBrauer's \(k(B)\)-conjecturePerron-Frobenius eigenvaluesnumbers of characters in \(p\)-blocks

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (4)

Rationality of eigenvalues of Cartan matrices in finite groups ⋮ ON THE FROBENIUS–PERRON EIGENVALUES OF CARTAN MATRICES FOR SOME FINITE GROUPS ⋮ A local conjecture on Brauer character degrees of finite groups ⋮ Bounding the number of characters in a block of a finite group

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