Nonnegative matrices, Brauer characters, normal subsets, and powers of representation modules

DOI10.1016/0024-3795(91)90105-6zbMath0738.20010OpenAlexW1973085607MaRDI QIDQ1177244

David Chillag

Publication date: 26 June 1992

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(91)90105-6

zbMATH Keywords

Brauer charactersnormal subsetscentral charactersnon-negative matricesrepresentation modulesordinary characters of finite groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20) Hermitian, skew-Hermitian, and related matrices (15B57) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (3)

Primitive normal matrices and covering numbers of finite groups. ⋮ Regular representations of semisimple algebras, separable field extensions, group characters, generalized circulants, and generalized cyclic codes ⋮ Semisimple commutative algebras with positive bases

Cites Work

• Research problem 39: Perfect groups and Cayley graphs
• Powers of characters of finite groups
• On the Perron-Frobenius eigenvector for nonnegative integral matrices whose largest eigenvalue is integral
• Generalized circulants and class functions of finite groups
• Generalized circulants and class functions of finite groups. II
• Products of conjugacy classes in groups
• Shorter Notes: Character Values of Finite Groups as Eigenvalues of Nonnegative Integer Matrices
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