\(\mathscr{P}\)-characters and the structure of finite solvable groups

DOI10.1515/jgth-2020-0087zbMath1477.20015OpenAlexW3103459711MaRDI QIDQ2657656

Jiakuan Lu, Kaisun Wu, Wei Meng

Publication date: 14 March 2021

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth-2020-0087

zbMATH Keywords

finite group\(p\)-nilpotencecodegree\(p\)-closed group

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• Unnamed Item
• The analog of Huppert's conjecture on character codegrees
• Element orders and character codegrees.
• Co-degrees of irreducible characters in finite groups.
• Codegrees and nilpotence class of \(p\)-groups.
• Finite groups and degrees of irreducible monomial characters
• Groups where all the irreducible characters are super-monomial
• Solvability of generalized monomial groups
• Large orbits in actions of nilpotent groups
• A character theoretic condition characterizing nilpotent groups
• Permutation characters in finite solvable groups
• Weak M_p-groups

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