On the focal subgroup of a saturated fusion system

DOI10.1016/J.JALGEBRA.2016.07.034zbMath1360.20015OpenAlexW2510410707MaRDI QIDQ324209

Luis M. Ezquerro, Ning Su, Adolfo Ballester-Bolinches, Yan Ming Wang

Publication date: 10 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.07.034

zbMATH Keywords

control of fusionsaturated fusion system

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Modular representations and characters (20C20) Finite nilpotent groups, (p)-groups (20D15)

Related Items (3)

On supersolvable saturated fusion systems ⋮ Control of fusion by Abelian subgroups of the hyperfocal subgroup ⋮ A cohomological characterization of nilpotent fusion systems

Cites Work

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• Group cohomology and control of \(p\)-fusion.
• \(p\)-nilpotence, classifying space indecomposability, and other properties of almost all finite groups
• Some results on \(p\)-nilpotence and solubility of finite groups
• Nilpotent \(p\)-local finite groups.
• A \(p\)-nilpotency criterion.
• CONTROL OF FUSION IN FUSION SYSTEMS
• Endliche Gruppen I

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