Groups whose characters are rational-valued

DOI10.1016/0021-8693(76)90098-3zbMath0348.20017OpenAlexW1997398369MaRDI QIDQ1234359

Roderick Gow

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0021-8693(76)90098-3

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10)

Related Items (30)

Non-abelian composition factors of \(m\)-rational groups ⋮ Solvable real groups ⋮ Some results on ℚ-groups ⋮ Representations of finite groups ⋮ Rational groups whose character degree graphs are disconnected ⋮ The \(S_ 3\)-conjecture for solvable groups ⋮ Finite groups in which no two distinct conjugacy classes have the same order ⋮ On semi-rational finite simple groups ⋮ Groups where each element is conjugate to its certain power. ⋮ Degrees and fields of values of irreducible characters ⋮ Rational Nonlinear Characters of Metabelian Groups ⋮ Research in representation theory of finite groups ⋮ Quadratic rational solvable groups. ⋮ The Gruenberg-Kegel graph of finite solvable rational groups ⋮ Gruenberg-Kegel graphs: cut groups, rational groups and the prime graph question ⋮ Character degrees and CLT-groups ⋮ Finite groups in which elements of the same order outside the center are conjugate. ⋮ 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 ⋮ Composition factors of rational finite groups. ⋮ On groups with conjugacy classes of distinct sizes. ⋮ Semi-rational solvable groups ⋮ The normalizer property of integral group rings of semidirect products of finite 2-closed groups by rational groups ⋮ Rational permutation groups containing a full cycle ⋮ Integral group rings of solvable groups with trivial central units ⋮ Groups Whose Nonlinear Irreduciblep-Brauer Characters are Real Valued ⋮ Artin Exponent and CC-Subgroups of Rational Groups ⋮ About a question concerning \(\mathbb{Q}\)-groups ⋮ Matrices that are similar to their inverses ⋮ Big primes and character values for solvable groups

Cites Work

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• Schur indices and modular representations
• Groups with many conjugate elements
• p-solvable doubly transitive permutation groups
• The Adams conjecture
• Normal p -Complements and Irreducible Representations
• A Note on the Brauer-Speiser Theorem

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