On the control of fusion in the local category for the \(p\)-block with a minimal nonabelian defect group.

DOI10.1007/s11425-010-4150-0zbMath1248.20011OpenAlexW2361101343MaRDI QIDQ547362

Sheng Gao, Sheng Yang

Publication date: 1 July 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4150-0

zbMATH Keywords

defect groupsnumbers of irreducible characterssubpairscontrol of fusionminimal nonabelian \(p\)-groups

Mathematics Subject Classification ID

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

Related Items (5)

3-blocks with Abelian defect groups isomorphic to \(\mathbb Z_{3^m}\times\mathbb Z_{3^n}\). ⋮ On the number of irreducible characters in a 3-block with a minimal nonabelian defect group ⋮ Groups with 2-generated Sylow subgroups and their character tables ⋮ On Olsson's conjecture for blocks with metacyclic defect groups of odd order. ⋮ On Brauer's \(k(B)\)-problem for blocks with metacyclic defect groups of odd order.

Cites Work

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• Local methods in block theory
• An inequality of block invariants
• On subpairs and modular representation theory
• Local control in fusion systems of \(p\)-blocks of finite groups.
• Finite \(p\)-groups with few minimal nonabelian subgroups.
• Extra special defect groups of order \(p^3\) and exponent \(p^2\).
• Local Structure, Vertices and Alperin's Conjecture

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