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Finite solvable groups with exactly two nonlinear nonfaithful irreducible characters

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Publication:5383869
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DOI10.1142/S0219498819500919zbMath1481.20023OpenAlexW2806287224MaRDI QIDQ5383869

Ya-Li Li

Publication date: 20 June 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498819500919


zbMATH Keywords

solvable groupnonlinear characternonfaithful character


Mathematics Subject Classification ID

Ordinary representations and characters (20C15)


Related Items (4)

Finite solvable groups with few imprimitive irreducible characters ⋮ Finite \(p\)-groups with few kernels of nonlinear irreducible characters ⋮ Decomposable groups with exactly two nonlinear non-faithful irreducible characters ⋮ Finite solvable groups with two imprimitive monolithic characters




Cites Work

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  • Classification of solvable groups possessing a unique nonlinear non-faithful irreducible character.
  • Finite $p$-groups with exactly two nonlinear non-faithful irreducible characters
  • Groups with only two nonlinear non-faithful irreducible characters
  • Finite Groups Having Only One Irreducible Representation of Degree Greater than One




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