Rational irreducible characters and rational conjugacy classes in finite groups
From MaRDI portal
Publication:5442138
DOI10.1090/S0002-9947-07-04375-9zbMath1137.20009MaRDI QIDQ5442138
Gabriel Navarro, Pham Hũ'u Tiêp
Publication date: 15 February 2008
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Representations of finite groups of Lie type (20C33)
Related Items
Non-abelian composition factors of \(m\)-rational groups, z-Classes and Rational Conjugacy Classes in Alternating Groups, Odd-degree rational irreducible characters, Real characters and degrees., Real groups and Sylow 2-subgroups, Finite non-solvable groups whose real degrees are prime-powers, Real-imaginary conjugacy classes and real-imaginary irreducible characters in finite groups, Real constituents of permutation characters, Surjective word maps and Burnside's \(p^aq^b\) theorem, Finite groups with many values in a column of the character table, Sylow normalizers and irreducible characters with small cyclotomic field of values, Brauer correspondent blocks with one simple module, Characters of \(\pi'\)-degree and small cyclotomic fields, A real version of Thompson's theorem on degrees, Finite groups whose same degree characters are Galois conjugate., Brauer characters and fields of values, Decomposition numbers and local properties, Galois group action and Jordan decomposition of characters of finite reductive groups with connected center, The inductive McKay-Navarro condition for the Suzuki and Ree groups and for groups with non-generic Sylow normalizers, On the degrees of irreducible characters fixed by some field automorphism in 𝑝-solvable groups, On the orders of real elements of solvable groups, Conjugacy classes and union of cosets of normal subgroups, Frobenius \(\mathbb Q_1\)-groups., Finite groups with three rational conjugacy classes, Groups with small multiplicities of fields of values of irreducible characters, Semisimple symplectic characters of finite unitary groups., Irreducible representations of odd degree, Groups with three real valued irreducible characters., Primes dividing the degrees of the real characters., Brauer characters and rationality., Monodromy groups of Kloosterman and hypergeometric sheaves, Global and local properties of finite groups with only finitely many central units in their integral group ring, Finite groups with real-valued irreducible characters of prime degree., Fake Galois actions, Non-abelian composition factors of \(\ell\)-Brauer \(m\)-rational groups, Rationality and normal 2-complements., 2-length and rational characters of odd degree., Degrees of rational characters of finite groups., Rationality and Sylow 2-subgroups, Groups whose real irreducible characters have degrees coprime to \(p\)., The Navarro refinement of the McKay conjecture for finite groups of Lie type in defining characteristic, Real class sizes and real character degrees, Finite groups whose non-linear irreducible characters of the same degree are Galois conjugate., Symmetric powers and a problem of Kollár and Larsen., The fields of values of characters of degree not divisible byp, Odd-Degree Characters and Self-Normalizing Sylow 2-Subgroups: A Reduction to Simple Groups, Finite groups whose real-valued irreducible characters have prime power degrees, Real ordinary characters and real Brauer characters, \(p\)-length and character degrees in \(p\)-solvable groups, p-Length andp′-Degree Irreducible Characters Having Values in ℚp, Jordan decomposition and real-valued characters of finite reductive groups with connected center
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Characters of \(\pi\)-separable groups
- Automorphism groups of 2-automorphic 2-groups
- Characters of groups with quotients of odd order
- On finite groups with exactly two real conjugate classes
- Representations of reductive groups over finite fields
- 2-automorphic 2-groups
- Generation of finite almost simple groups by conjugates.
- A note on \(2\)-automorphic \(2\)-groups
- Seminar on algebraic groups and related finite groups. Held at the Institute for Advanced Study, Princeton/N.J., 1968/69
- Rank 3 permutation modules of the finite classical groups.
- The non-coprime \(k(GV)\) problem.
- SMALLEST DEGREES OF REPRESENTATIONS OF EXCEPTIONAL GROUPS OF LIE TYPE
- Characters of Reductive Groups over a Finite Field. (AM-107)
- The Affine Permutation Groups of Rank Three
- Cross characteristic representations of even characteristic symplectic groups
- The Character Tables for SL(3, q), SU(3, q2), PSL(3, q), PSU(3, q2)
- Character correspondences in solvable groups
