On some saturated triples and hyperfocal subgroups

DOI10.1016/j.jalgebra.2017.11.052zbMath1427.20019OpenAlexW2781161053MaRDI QIDQ1703101

Constantin-Cosmin Todea

Publication date: 1 March 2018

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.11.052

zbMATH Keywords

fusion systemprimitive idempotenthyperfocal subgroupbasic Morita equivalencegroup-graded equivalencestable idempotent

Mathematics Subject Classification ID

Modular representations and characters (20C20)

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Cites Work

• The number of irreducible Brauer characters in a \(p\)-block of a finite group with cyclic hyperfocal subgroup.
• The extended Brauer quotient of \(N\)-interior \(G\)-algebras.
• Restriction between cohomology algebras of blocks of finite groups.
• On the local structure of Morita and Rickard equivalences between Brauer blocks
• The hyperfocal subalgebra of a block
• Group graded basic Morita equivalences
• Extensions of nilpotent blocks
• On blocks of finite groups with central hyperfocal subgroups.
• Remarks on the extended Brauer quotient
• A local property of basic Morita equivalences.
• A reduction theorem for fusion systems of blocks.
• The generalized Fitting subsystem of a fusion system
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