Parameterization of Irreducible Characters for p-Solvable Groups

DOI10.1142/S1005386712000028zbMath1254.20010arXiv1006.5229OpenAlexW2165707308MaRDI QIDQ2880061

Lluis Puig

Publication date: 12 April 2012

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

Full work available at URL: https://arxiv.org/abs/1006.5229

zbMATH Keywords

weightsfinite groupsdefect groupsnumbers of irreducible characters\(p\)-solvable groupsblocksparameterizationsweight conjectureDade conjectureAlperin conjecture

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20)

Related Items (1)

The strengthened Alperin weight conjecture for \(p\)-solvable groups.

Cites Work

• Counting characters in blocks. I
• 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
• Dade's projective conjecture for \(p\)-solvable groups
• Extensions of nilpotent blocks
• Source algebras of \(p\)-central group extensions
• Frobenius categories versus Brauer blocks. The Grothendieck group of the Frobenius category of a Brauer block.

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