Finite Groups in which the Degrees of the Nonlinear Irreducible Characters are Distinct

DOI10.2307/2159340zbMath0822.20004OpenAlexW4256248520MaRDI QIDQ4018800

Marcel Herzog, David Chillag, Yakov G. Berkovich

Publication date: 16 January 1993

Full work available at URL: https://doi.org/10.2307/2159340

zbMATH Keywords

finite groupsnonlinear irreducible characters

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (28)

On the relations between the structures of finite groups and their strongly monolithic characters ⋮ Finite groups admitting at most two irreducible characters having equal co-degrees ⋮ Langlands reciprocity for certain Galois extensions ⋮ Groups which do not have four irreducible characters of degrees divisible by a prime \(p\) ⋮ The \(S_ 3\)-conjecture for solvable groups ⋮ Finite groups with many values in a column of the character table ⋮ Finite solvable groups whose character graphs are trees. ⋮ Finite groups whose same degree characters are Galois conjugate. ⋮ Nonsolvable \(D_2\)-groups. ⋮ FINITE SOLVABLE GROUPS WITH DISTINCT MONOMIAL CHARACTER DEGREES ⋮ On the multiplicities of the character codegrees of finite groups ⋮ Strongly monolithic characters of finite groups ⋮ Multiplicities of character codegrees of finite groups ⋮ Finite groups in which distinct nonlinear irreducible characters have distinct codegrees ⋮ Principal blocks with distinct character degrees ⋮ On Isaacs’ three character degrees theorem ⋮ Frobenius groups with almost distinct conjugacy class sizes ⋮ Some sufficient conditions for the Taketa inequality. ⋮ Finite groups with almost distinct character degrees. ⋮ Solvable \(D_2\)-groups ⋮ On the multiplicity of character degrees of nonsolvable groups ⋮ Finite solvable groups with at most two nonlinear irreducible characters of each degree. ⋮ Finite groups with non-trivial intersections of kernels of all but one irreducible characters ⋮ On distinct character degrees. ⋮ Finite groups whose non-linear irreducible characters of the same degree are Galois conjugate. ⋮ On Thompson's theorem ⋮ Automorphism groups of simply reducible groups ⋮ Groups in which the co-degrees of the irreducible characters are distinct

Cites Work

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• Generalized Frobenius groups
• On finite rational groups and related topics
• Some conditions which almost characterize Frobenius groups.
• Generalized Frobenius groups. II.
• Endliche Gruppen I
• Finite Groups Having Only One Irreducible Representation of Degree Greater than One

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