Big primes and character values for solvable groups

DOI10.1016/0021-8693(86)90079-7zbMath0587.20004OpenAlexW2112162190MaRDI QIDQ1072638

Eliana Faris e Soares

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90079-7

zbMATH Keywords

character valuesfinite solvable group

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (11)

Complex group algebras of finite groups: Brauer's problem 1. ⋮ Groups where each element is conjugate to its certain power. ⋮ Methods and questions in character degrees of finite groups ⋮ Quadratic rational solvable groups. ⋮ Problems on characters: solvable groups ⋮ Sylow 2-subgroups of solvable \(\mathbb{Q}_1\)-groups ⋮ Field of values of cut groups and \(k\)-rational groups ⋮ Semi-rational solvable groups ⋮ Complex group algebras of finite groups: Brauer’s Problem 1 ⋮ Integral group rings of solvable groups with trivial central units ⋮ Multiplicities of fields of values of irreducible characters of finite groups

Cites Work

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• Groups whose characters are rational-valued
• Groups with many conjugate elements
• p-solvable doubly transitive permutation groups
• Solvable and supersolvable groups in which every element is conjugate to its inverse
• Endliche Gruppen I

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