3-blocks with Abelian defect groups isomorphic to \(\mathbb Z_{3^m}\times\mathbb Z_{3^n}\).

DOI10.1007/s10114-013-2220-2zbMath1281.20013OpenAlexW2122100442MaRDI QIDQ383641

Sheng Yang

Publication date: 5 December 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-2220-2

zbMATH Keywords

finite groupsdefect groupsnumbers of irreducible charactersblocksnumbers of irreducible Brauer charactersinertial indexinertial quotients

Mathematics Subject Classification ID

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

Cites Work

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• On the control of fusion in the local category for the \(p\)-block with a minimal nonabelian defect group.
• Perfect isometries for blocks with abelian defect groups and Klein four inertial quotients
• On Brauer's \(k(B)\)-problem for blocks with metacyclic defect groups of odd order.
• Local methods in block theory
• On p-blocks with Abelian defect groups and inertial index 2 or 3. I
• A Frobenius theorem for blocks
• On subpairs and modular representation theory
• Blocks with cyclic defect groups
• Extra special defect groups of order \(p^3\) and exponent \(p^2\).

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