Conditions for solvability in complex \(p\)-solvable linear groups.

DOI10.1016/j.jalgebra.2010.05.016zbMath1217.20030OpenAlexW2095307080MaRDI QIDQ615872

Benjamin Newton

Publication date: 7 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.05.016

zbMATH Keywords

solvability\(p\)-solvable groupssolvable groupsfinite irreducible complex linear groups

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) Representation theory for linear algebraic groups (20G05) Other matrix groups over fields (20H20)

Uses Software

• Magma

Cites Work

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• The Magma algebra system. I: The user language
• On the orders of primitive groups
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• Eine Beziehung zwischen Binomialkoeffizienten und Primzahlpotenzen
• Finite groups with small character degrees and large prime divisors
• Complex p-solvable linear groups
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Subgroups generated by small classes in finite groups
• Complex Representations of 𝐺𝐿(2,𝐾) for Finite Fields 𝐾
• Derangements and Eigenvalue-Free Elements in Finite Classical Groups
• Characters of Solvable and Symplectic Groups

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