Partial groups, pregroups and realisability of fusion systems

DOI10.1016/j.jalgebra.2024.06.032zbMath1548.20103MaRDI QIDQ6612189

Rémi Molinier, Nicolas Lemoine

Publication date: 30 September 2024

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

zbMATH Keywords

pregroupfusion systempartial group

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Sets with a single binary operation (groupoids) (20N02) Combinatorial aspects of groups and algebras (05E16)

Cites Work

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• Fusion systems and localities.
• Realising fusion systems.
• Construction of 2-local finite groups of a type studied by Solomon and Benson
• Homology decompositions and groups inducing fusion systems
• Extensions of linking systems with \(p\)-group kernel
• Amalgams, blocks, weights, fusion systems and finite simple groups.
• Realizing fusion systems inside finite groups
• The linking systems of the Solomon 2-local finite groups are simply connected
• Pregroups and Bass-Serre theory
• The homotopy theory of fusion systems
• Finite localities I

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