Block source algebras in \(p\)-solvable groups.

DOI10.1307/MMJ/1242071696zbMath1241.20011OpenAlexW2139309821MaRDI QIDQ1024885

Lluis Puig

Publication date: 17 June 2009

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1242071696

zbMATH Keywords

defect groupssource algebras\(p\)-blocksfinite \(p\)-solvable groupsDade algebras

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (12)

Equivariant Alperin-Robinson's conjecture reduces to almost-simple \(k^*\)-groups. ⋮ Inertial blocks and equivariant basic Morita equivalences ⋮ On blocks with trivial source simple modules. ⋮ Source algebras of blocks, sources of simple modules, and a conjecture of Feit. ⋮ Nilpotent extensions of blocks. ⋮ Natural Morita equivalences of degree \(n\). ⋮ On the reduction of Alperin's conjecture to the quasi-simple groups. ⋮ Blocks with defect group \(\mathbb{Z}_{2^n} \times \mathbb{Z}_{2^n} \times \mathbb{Z}_{2^m}\) ⋮ Ordinary Grothendieck Groups of a Frobenius P-Category ⋮ Group graded basic Morita equivalences and the Harris-Knörr correspondence ⋮ Weight Parameterization of Simple Modules for p-Solvable Groups ⋮ Parameterization of Irreducible Characters for p-Solvable Groups

Cites Work

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• Local methods in block theory
• Affirmative answer to a question of Feit.
• Local fusions in block source algebras
• Nilpotent blocks and their source algebras
• Pointed groups and construction of modules
• Pointed groups and construction of characters
• Endo-permutation modules over p-groups. II
• On the local structure of Morita and Rickard equivalences between Brauer blocks
• Extensions of nilpotent blocks
• Source algebras of \(p\)-central group extensions
• On The Characters of p-Solvable Groups

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