The 2-blocks of defect 4

DOI10.1090/S1088-4165-2013-00433-8zbMath1311.20008WikidataQ58940419 ScholiaQ58940419MaRDI QIDQ2836483

Burkhard Külshammer, Benjamin Sambale

Publication date: 3 July 2013

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

defect groupsnumbers of irreducible charactersblocks of finite groupsAlperin-McKay conjecturenumbers of irreducible Brauer charactersAlperin weight conjectureBrauer \(k(B)\)-conjectureOlsson conjecture2-blocksGluck conjectureBrauer height-zero conjectureEaton conjectureEaton-Moretó conjectureMalle-Navarro conjectureRobinson ordinary weight conjecture

Mathematics Subject Classification ID

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

Related Items (5)

Morita equivalence classes of blocks with elementary abelian defect groups of order 32 ⋮ On the Alperin–McKay conjecture for 2‐blocks of maximal defect ⋮ 2-blocks with abelian defect groups. ⋮ On centers of blocks with one simple module ⋮ Classifying blocks with abelian defect groups of rank 3 for the prime 2

Uses Software

• GAP

Cites Work

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• Perfect isometries and isotypies for blocks with abelian defect groups and the inertial quotients isomorphic to \(\mathbb{Z}_ 4\times\mathbb{Z}_ 2\)
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• Blocks with central product defect group 𝐷_{2ⁿ}∗𝐶_{2^{𝑚}}
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• 2-Blocks with minimal nonabelian defect groups II
• Conjectures of Alperin and Broué for 2-blocks with elementary abelian defect groups of order 8
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• Crossed products and blocks with normal defect groups
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