Quadratic rational solvable groups.

DOI10.1016/j.jalgebra.2012.04.019zbMath1261.20007OpenAlexW1982550135MaRDI QIDQ1938530

Joan F. Tent

Publication date: 21 February 2013

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.04.019

zbMATH Keywords

finite solvable groupsnumbers of irreducible charactersquadratic fieldsrational groupsrational valued charactersrational charactersquadratic rational groupssemi-rational groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (6)

Non-abelian composition factors of \(m\)-rational groups ⋮ Solvable real groups ⋮ Global and local properties of finite groups with only finitely many central units in their integral group ring ⋮ Field of values of cut groups and \(k\)-rational groups ⋮ 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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• Complex group algebras of finite groups: Brauer's problem 1.
• Quadratic characters in groups of odd order.
• Big primes and character values for solvable groups
• Groups whose characters are rational-valued
• Composition factors of rational finite groups.
• Semi-rational solvable groups
• Rationality and Sylow 2-subgroups

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