2-length and rational characters of odd degree.

DOI10.1007/S00013-011-0229-2zbMath1227.20003OpenAlexW1963493905MaRDI QIDQ535130

Joan F. Tent

Publication date: 11 May 2011

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

Full work available at URL: https://doi.org/10.1007/s00013-011-0229-2

zbMATH Keywords

finite solvable groupsnumbers of irreducible charactersnumbers of orbitsSylow subgroupsrational valued characters2-lengthsnumbers of rational irreducible characters

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 (5)

Character heights and \(p\)-length in blocks of \(p\)-solvable groups. ⋮ Finite groups with three rational conjugacy classes ⋮ Solvable groups having only three rational classes of 2-elements. ⋮ \(p\)-length and character degrees in \(p\)-solvable groups ⋮ p-Length andp′-Degree Irreducible Characters Having Values in ℚ_p

Cites Work

• Unnamed Item
• Correspondences between constituents of projective characters.
• Real‐Valued Characters of Solvable Groups
• Rational irreducible characters and rational conjugacy classes in finite groups

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