Weight Parameterization of Simple Modules for p-Solvable Groups

DOI10.1142/S1005386713000023zbMath1301.20008arXiv1005.3748MaRDI QIDQ2859265

Lluis Puig

Publication date: 7 November 2013

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

Full work available at URL: https://arxiv.org/abs/1005.3748

zbMATH Keywords

weightsfinite groups\(p\)-solvable groupssimple modulesAlperin weight conjecture

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Cites Work

• Affirmative answer to a question of Feit.
• Block source algebras in \(p\)-solvable groups.
• Local fusions in block source algebras
• Nilpotent blocks and their source algebras
• Pointed groups and construction of modules
• Characters and local structure in G-algebras
• Pointed groups and construction of characters
• Weights, vertices and a correspondence of characters in groups of odd order
• Extensions of nilpotent blocks
• Source algebras of \(p\)-central group extensions
• Solvability of groups of odd order
• Characters of Solvable and Symplectic Groups

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