Finite groups with real conjugacy classes of prime size.

DOI10.1007/s11856-010-0008-yzbMath1203.20029OpenAlexW1984194096MaRDI QIDQ5962250

Emanuele Pacifici, Silvio Dolfi, Lucia Sanus

Publication date: 21 September 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2434/149939

zbMATH Keywords

finite groupssolvabilityconjugacy classes sizesnormal complementsreal charactersreal 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

Real class sizes ⋮ Coprime action and arithmetical conditions on invariant conjugacy classes. ⋮ Groups with some arithmetic conditions on real class sizes. ⋮ A note on conjugacy classes of finite groups.

Cites Work

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• Real characters and degrees.
• Primes dividing the degrees of the real characters.
• Finite groups with real-valued irreducible characters of prime degree.
• Nearly odd-order and nearly real finite groups
• Endliche Gruppen I