Domination of blocks, fusion systems and hyperfocal subgroups

DOI10.1016/j.jalgebra.2019.11.037zbMath1452.20006OpenAlexW2996987106WikidataQ126413953 ScholiaQ126413953MaRDI QIDQ2292838

Tiberiu Coconeţ, Constantin-Cosmin Todea

Publication date: 6 February 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2019.11.037

zbMATH Keywords

blockfusion systemdefect groupBrauer pairhyperfocal subgroup

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Cites Work

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• A spectral sequence for fusion systems
• The number of irreducible Brauer characters in a \(p\)-block of a finite group with cyclic hyperfocal subgroup.
• Control of fusion and solubility in fusion systems
• On nilpotent blocks of finite groups
• On blocks of finite groups with central hyperfocal subgroups.
• 2-blocks with abelian defect groups.
• Hyperfocal subalgebras of blocks and computation of characters.
• Tate's and Yoshida's theorems on control of transfer for fusion systems
• The Block Theory of Finite Group Algebras
• Donovan’s conjecture and blocks with abelian defect groups
• Rationality of blocks of quasi-simple finite groups

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