Blocks with central product defect group 𝐷_{2ⁿ}∗𝐶_{2^{𝑚}}

DOI10.1090/S0002-9939-2013-11938-6zbMath1279.20015OpenAlexW1495096688WikidataQ58940377 ScholiaQ58940377MaRDI QIDQ2855886

Benjamin Sambale

Publication date: 23 October 2013

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11938-6

zbMATH Keywords

finite groupsnumbers of irreducible charactersblocksAlperin-McKay conjectureAlperin weight conjectureblock invariantsBrauer \(k(B)\)-conjectureBrauer height zero conjectureOlsson conjecturedihedral defect groupsordinary weight conjecture

Mathematics Subject Classification ID

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

Related Items (3)

A note on Olsson's conjecture. ⋮ Orthogonal bases of Brauer symmetry classes of tensors for groups having cyclic support on non-linear Brauer characters ⋮ The 2-blocks of defect 4

Uses Software

• GAP

Cites Work

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• Cartan matrices and Brauer's \(k(B)\)-conjecture. II.
• Blocks with defect group \(D_{2^n}\times C_{2^m}\).
• Cartan matrices and Brauer's \(k(B)\)-conjecture.
• The gluing problem for some block fusion systems.
• On Brauer's \(k(B)\) problem
• Blocks of tame representation type and related algebras
• On 2-blocks with quaternion and quasihedral defect groups
• Generalisations of conjectures of Brauer and Olsson.
• On subpairs and modular representation theory
• Fusion category algebras.
• Weight conjectures for ordinary characters.
• Simple fusion systems and the Solomon 2-local groups.

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