Bounding the Fitting height of a solvable group by the number of zeros in a character table

DOI10.1090/S0002-9939-02-06452-3zbMath1007.20008MaRDI QIDQ4539834

Guohua Qian

Publication date: 11 July 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

conjugacy classesFrobenius groupsirreducible characterssolvable groupsFitting subgroups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (7)

On the number of conjugacy classes of zeros of characters. ⋮ On finite groups with their character tables having at most \(p+1\) zeros in each column. ⋮ On the number of conjugacy classes of zeros of characters and the length of solvable groups ⋮ Finite groups with some restriction on the vanishing set ⋮ Conjugacy Classes Outside a Normal Subgroup ⋮ On the orders of vanishing elements of finite groups ⋮ Finite groups whose irreducible characters vanish on at most three conjugacy classes

Cites Work

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• Characters vanishing on all but two conjugacy classes.
• Zeros of primitive characters in solvable groups
• Finite group elements where no irreducible character vanishes
• On zeros of characters of finite groups
• Endliche Gruppen I

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