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Finite groups with two kernels of nonlinear irreducible characters
In this paper, we consider finite groups with few kernels of nonlinear irreducible characters and classify finite solvable groups with two kernels of...
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Finite p-groups with Few Kernels of Nonlinear Irreducible Characters
Let G be a finite nonabelian group and Kern( G ) the set of kernels of nonlinear irreducible characters of G . In this paper, finite p -groups G with...
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Nonsolvable Groups with Three Nonlinear Irreducible Character Codegrees
For an irreducible character χ of a finite group G , the codegree of χ is defined as ∣ G : ker( χ )∣/ χ (1). In this paper, the authors determine finite...
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On the Number of Heisenberg Characters of Finite Groups
An irreducible character χ of a finite group G is called a Heisenberg character if Ker χ ⊇ [ G, [ G,G ]]. In this paper, we prove that the group G has...
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Characters of prime power degree in principal blocks
We describe finite groups whose principal block contains only characters of prime power degree.
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Normal Sylow subgroups and monomial Brauer characters
Let G be a finite group, p be a prime divisor of | G |, and P be a Sylow p -subgroup of G . We prove that P is normal in a solvable group G if | G : ker φ |
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BLOCKS AND CHARACTERS OF D(2|1; ζ)-MODULES OF NON-INTEGRAL WEIGHTS
We classify blocks in the BGG category 𝒪 of modules of non-integral weights for the exceptional Lie superalgebra D (2|1; ζ). We establish various...
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Groups where the centers of the irreducible characters form a chain
We consider groups where the centers of the irreducible characters form a chain. We obtain two alternate characterizations of these groups, and we...
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Finite Groups with Some Bounded Codegrees
For a character χ of a finite group G , the number cod( χ )≔ ∣ G : ker( χ )∣/ χ (1) is called the codegree of χ . In this paper, we give a solvability...
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Plateaued functions on finite nonabelian groups
Using the Fourier transforms at irreducible unitary representations, we introduce the plateaued functions on finite nonabelian groups, which are a...
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Some Properties of Normal Subgroups Determined from Character Tables
G -character tables of a finite group G were defined in Felipe et al. (Quaest Math, 2022.
https://doi.org/10.2989/16073606/16073606.2022.2040633 ...
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Association Schemes with at Most Two Nonlinear Irreducible Characters and Applications to Finite Groups
An irreducible character χ of an association scheme is called nonlinear if the multiplicity of χ is greater than 1. The main result of this paper...
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Groups where the centers of the irreducible characters form a chain II
In this paper, we determine new characterizations of nested and nested GVZ-groups, including character-free characterizations, but we additionally...
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Methods and Questions in Character Degrees of Finite Groups
We present some variations on some of the main open problems on character degrees. We collect some of the methods that have proven to be very useful...
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Representations and Characters of Groups
In this chapter, we will introduce the notions of representations of groups. The idea is then to establish a viable connection between...