On the number of conjugacy classes of zeros of characters and the length of solvable groups

DOI10.1080/00927872.2020.1741601zbMath1485.20024OpenAlexW3014446349MaRDI QIDQ5119344

Yong Yang

Publication date: 3 September 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2020.1741601

zbMATH Keywords

conjugacy classescharacter degrees

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Modular representations and characters (20C20)

Related Items (1)

Landau's theorem and the number of conjugacy classes of zeros of characters

Cites Work

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• Sylow-p-subgroups of p-solvable subgroups of GL(n,p)
• Orbits of the actions of finite solvable groups.
• Lower bounds for the number of conjugacy classes in finite solvable groups
• Orbit sizes, character degrees and Sylow subgroups.
• On the number of conjugacy classes of zeros of characters.
• On nilpotent group actions on the characters of solvable groups
• Blocks of small defect.
• Fitting height and character degree graphs.
• Finite Groups Have Many Conjugacy Classes
• Blocks of Small Defect
• Bounding the Fitting height of a solvable group by the number of zeros in a character table

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