Real characters and degrees.
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Publication:836111
DOI10.1007/s11856-009-0045-6zbMath1186.20010OpenAlexW2008836496MaRDI QIDQ836111
Lucia Sanus, Gabriel Navarro, Pham Hũ'u Tiêp
Publication date: 31 August 2009
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11856-009-0045-6
conjugacy classessolvabilityirreducible complex characterscharacter degreesnormal complementsreal charactersconjugacy class sizes
Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60)
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Cites Work
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- Groups with two real Brauer characters.
- Groups with three real valued irreducible characters.
- Primes dividing the degrees of the real characters.
- On finite groups with exactly two real conjugate classes
- Character theory of finite groups
- SMALLEST DEGREES OF REPRESENTATIONS OF EXCEPTIONAL GROUPS OF LIE TYPE
- Degrees and p -rational characters
- Prime divisors of character degrees
- Nearly odd-order and nearly real finite groups
- Real conjugacy classes in algebraic groups and finite groups of Lie type
- Minimal characters of the finite classical groups
- Rational irreducible characters and rational conjugacy classes in finite groups