Nearly odd-order and nearly real finite groups

DOI10.1080/00927879808826261zbMath0906.20005OpenAlexW2012639204MaRDI QIDQ3838327

Avinoam Mann, David Chillag

Publication date: 31 January 1999

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

Full work available at URL: https://doi.org/10.1080/00927879808826261

zbMATH Keywords

finite groupsirreducible constituentsreal irreducible charactersreal groupsfinite groups of odd orders

Mathematics Subject Classification ID

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

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Real class sizes, Real characters and degrees., Finite non-solvable groups whose real degrees are prime-powers, Real-imaginary conjugacy classes and real-imaginary irreducible characters in finite groups, Variations on the Itô-Michler theorem on character degrees, Finite \(p\)-groups all of whose cyclic subgroups \(A,B\) with \(A\cap B\neq\{1\}\) generate an Abelian group., Squares of real conjugacy classes in finite groups, Orders of real elements in finite groups, 2-parts of real class sizes, Primes dividing the degrees of the real characters., Finite groups with real-valued irreducible characters of prime degree., Rationality and normal 2-complements., Finite groups with real conjugacy classes of prime size., Real class sizes and real character degrees, Groups Whose Nonlinear Irreduciblep-Brauer Characters are Real Valued, Real characters, monolithic characters and the Taketa inequality, Finite groups whose real-valued irreducible characters have prime power degrees, On Products of Irreducible Characters and Products of Conjugacy Classes in Finite Groups, Unnamed Item

Cites Work

• Generalized Frobenius groups
• On two- and three-element subsets of groups
• Generators of 2-groups
• The power structure of finite p-groups
• Unnamed Item
• Unnamed Item