Extensions of linking systems and fusion systems

DOI10.1090/S0002-9947-2010-05022-6zbMath1205.55014MaRDI QIDQ3053481

Robert Oliver

Publication date: 29 October 2010

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

zbMATH Keywords

extensionsclassifying spacesSylow subgroupsfusion

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (11)

Some products in fusion systems and localities ⋮ Kernels of localities ⋮ Realizability and tameness of fusion systems ⋮ Punctured groups for exotic fusion systems ⋮ Reductions to simple fusion systems ⋮ An algebraic model for finite loop spaces ⋮ Subcentric linking systems ⋮ The rank of fusion systems ⋮ Wreath products and representations of \(p\)-local finite groups. ⋮ Fusion systems ⋮ Extensions of homomorphisms between localities

Cites Work

• Unnamed Item
• Wreath products and representations of \(p\)-local finite groups.
• Extensions of linking systems with \(p\)-group kernel
• Frobenius categories.
• Reduced, tame and exotic fusion systems
• Extensions of $p$-local finite groups
• Normal subsystems of fusion systems
• Saturated fusion systems over $2$-groups
• The homotopy theory of fusion systems
• Subgroup families controlling p-local finite groups

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