Solvable groups having only three rational classes of 2-elements.

DOI10.1007/s00013-011-0303-9zbMath1233.20017OpenAlexW2067952645MaRDI QIDQ641813

I. M. Isaacs, Gabriel Navarro

Publication date: 25 October 2011

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

Full work available at URL: https://doi.org/10.1007/s00013-011-0303-9

zbMATH Keywords

finite solvable groupsreal characters2-lengthsnumbers of real conjugacy classesrational classesrational conjugacy classes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) 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 (3)

Finite groups with three rational conjugacy classes ⋮ Real Brauer characters ⋮ p-Length andp′-Degree Irreducible Characters Having Values in ℚ_p

Cites Work

• Unnamed Item
• 2-length and rational characters of odd degree.
• Characters of \(\pi\)-separable groups
• Normal \(p\)-complements and fixed elements.
• Groups with three real valued irreducible characters.
• Real‐Valued Characters of Solvable Groups

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