Character heights and \(p\)-length in blocks of \(p\)-solvable groups.

DOI10.1016/j.jalgebra.2013.05.012zbMath1304.20016OpenAlexW2042061765MaRDI QIDQ401732

John C. Murray, Joan F. Tent

Publication date: 27 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.05.012

zbMATH Keywords

numbers of irreducible characterscharacter heights\(p\)-blocksfinite \(p\)-solvable groupsreal characters\(p\)-lengths\(p\)-rational characterscharacters of positive heightheight zero characters

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Modular representations and characters (20C20)

Related Items (1)

On a problem posed by Murray and Tent

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 2-length and rational characters of odd degree.
• Characters of \(\pi\)-separable groups
• Defect groups and character heights in blocks of solvable groups. II
• Real-valued and 2-rational group characters
• Characters of solvable groups induced by linear characters of Hall subgroups
• Block induction, normal subgroups and characters of height zero
• Real \(2\)-regular classes and \(2\)-blocks
• Correspondences between constituents of projective characters.
• p-Length andp′-Degree Irreducible Characters Having Values in ℚ_p
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• On The Characters of p-Solvable Groups
• Solvable Groups and Modular Representation Theory
• Real‐Valued Characters of Solvable Groups
• Characters of \(p'\)-degree of \(p\)-solvable groups

This page was built for publication: Character heights and \(p\)-length in blocks of \(p\)-solvable groups.