Finite $p$-groups with exactly two nonlinear non-faithful irreducible characters

DOI10.21136/CMJ.2018.0230-17OpenAlexW2884548529MaRDI QIDQ5227095

Hui-Min Li, Xiaoyou Chen, Ya-Li Li

Publication date: 5 August 2019

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2018.0230-17

zbMATH Keywords

\(p\)-groupnon-faithful characternonlinear irreducible character

Mathematics Subject Classification ID

Ordinary representations and characters (20C15)

Related Items (5)

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 ⋮ Finite solvable groups with exactly two nonlinear nonfaithful irreducible characters ⋮ Groups with only two nonlinear non-faithful irreducible characters

Uses Software

• GAP

Cites Work

• Zeros of Brauer characters.
• Classification of solvable groups possessing a unique nonlinear non-faithful irreducible character.
• Groups with two extreme character degrees and their normal subgroups
• Finite Groups Having Only One Irreducible Representation of Degree Greater than One
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