Finite \(p\)-groups with few kernels of nonlinear irreducible characters

DOI10.1007/S11464-021-0307-0zbMath1527.20023MaRDI QIDQ6058274

Qinhai Zhang, Pujin Li

Publication date: 1 November 2023

Published in: Frontiers of Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite \(p\)-groupsnonlinear irreducible characterskernels of irreducible character

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

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• Finite \(p\)-groups all of whose non-Abelian proper subgroups are generated by two elements.
• Groups of prime power order. Vol. 1.
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• Classification of solvable groups possessing a unique nonlinear non-faithful irreducible character.
• A note on character kernels in finite groups of prime power order.
• Groups with two extreme character degrees and their normal subgroups
• Finite $p$-groups with exactly two nonlinear non-faithful irreducible characters
• Groups with only two nonlinear non-faithful irreducible characters
• Finite solvable groups with exactly two nonlinear nonfaithful irreducible characters
• Finite Groups Having Only One Irreducible Representation of Degree Greater than One

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