On the number of conjugacy classes of zeros of characters.

DOI10.1007/BF02771531zbMath1058.20009OpenAlexW1969458275MaRDI QIDQ1881739

Alexander Moretó, Josu Sangroniz

Publication date: 15 October 2004

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

Full work available at URL: https://doi.org/10.1007/bf02771531

zbMATH Keywords

finite solvable groupsfinite \(p\)-groupsirreducible charactersderived lengthsFitting series

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) Finite nilpotent groups, (p)-groups (20D15)

Related Items (12)

Complex group algebras of finite groups: Brauer's problem 1. ⋮ Landau's theorem and the number of conjugacy classes of zeros of characters ⋮ Finite groups with average number of character zeros equal to one ⋮ Methods and questions in character degrees of finite groups ⋮ \(p\)-groups and zeros of characters ⋮ On the number of conjugacy classes of zeros of characters and the length of solvable groups ⋮ Groups with a small average number of zeros in the character table ⋮ Complex group algebras of finite groups: Brauer’s Problem 1 ⋮ Large orbits of \(p\)-groups on characters and applications to character degrees. ⋮ Finite groups whose irreducible characters vanish on at most three conjugacy classes ⋮ Orbit sizes, character degrees and Sylow subgroups. ⋮ Multiplicities of fields of values of irreducible characters of finite groups

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