Real ordinary characters and real Brauer characters

DOI10.1090/S0002-9947-2014-06148-5zbMath1365.20007MaRDI QIDQ5496630

Pham Hũ'u Tiêp

Publication date: 2 February 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Frobenius-Schur indicatorreal-valued Brauer charactersreal-valued ordinary characters

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (12)

Real class sizes ⋮ Finite non-solvable groups whose real degrees are prime-powers ⋮ Variations on the Itô-Michler theorem on character degrees ⋮ \(p\)-regular conjugacy classes and \(p\)-rational irreducible characters ⋮ p-parts of character degrees ⋮ A real version of Thompson's theorem on degrees ⋮ Irreducible restrictions of representations of symmetric and alternating groups in small characteristics ⋮ On Héthelyi-Külshammer's conjecture for principal blocks ⋮ Irreducible characters of even degree and normal Sylow 2-subgroups ⋮ Even character degrees and normal Sylow 2-subgroups ⋮ The average character degree and an improvement of the Itô-Michler theorem ⋮ Finite groups whose real-valued irreducible characters have prime power degrees

Uses Software

• CHEVIE

Cites Work

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• Zeros of real irreducible characters of finite groups.
• Characters of relative \(p^\prime\)-degree over normal subgroups
• Groups whose real irreducible characters have degrees coprime to \(p\).
• Groups with two real Brauer characters.
• Primes dividing the degrees of the real characters.
• Degrees of rational characters of finite groups.
• Duality, central characters, and real-valued characters of finite groups of Lie type.
• Symmetric powers and a problem of Kollár and Larsen.
• A finite simple group of Lie type has p-blocks with different defects, \(p\neq 2\)
• The representation theory of the symmetric groups
• The Frobenius-Schur indicator and projective modules
• CHEVIE -- A system for computing and processing generic character tables
• Finite group elements where no irreducible character vanishes
• Finite groups whose irreducible characters vanish only on \(p\)-elements.
• Brauer characters with cyclotomic field of values.
• Products of primes in conjugacy class sizes and irreducible character degrees.
• Degrees and p -rational characters
• Properties of the Characters of the Finite General Linear Group Related to the Transpose-Inverse Involution
• Irreducible brauer characters of the 3-dimensional special unitary groups in non-defining characteristic^∗
• Prime divisors of character degrees
• Hall-Higman-type theorems for semisimple elements of finite classical groups
• On Large Zsigmondy Primes
• Regular and Semisimple Blocks of Finite Reductive Groups
• Finite Covers, Cohomology and Homogeneous Structures
• Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
• Real conjugacy classes in algebraic groups and finite groups of Lie type
• Cross characteristic representations of even characteristic symplectic groups
• Conjugacy action, induced representations and the Steinberg square for simple groups of Lie type
• Rational irreducible characters and rational conjugacy classes in finite groups
• Hook representations of the symmetric groups
• On the Overgroups of Irreducible Subgroups of the Finite Classical Groups
• Low-dimensional representations of special unitary groups

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