Splitting fusion systems over 2-groups

DOI10.1017/S0013091512000120zbMath1310.20022OpenAlexW2332556119MaRDI QIDQ4911210

Robert Oliver

Publication date: 14 March 2013

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091512000120

zbMATH Keywords

finite groupsautomorphismsSylow subgroupsfusion systemscentric linking systems

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Automorphisms of abstract finite groups (20D45) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Products of subgroups of abstract finite groups (20D40)

Related Items (7)

Reduced fusion systems over 2-groups of sectional rank at most 4 ⋮ Fusion systems and amalgams. ⋮ Reduced fusion systems over 2-groups of small order ⋮ Simple fusion systems over \(p\)-groups with abelian subgroup of index \(p\). I. ⋮ A characterization of the 2-fusion system of \(L_4(q)\). ⋮ Fusion systems over \(M_p(1, 1, 1) {\times} A\)-groups ⋮ Algorithms for fusion systems with applications to 𝑝-groups of small order

Cites Work

• Unnamed Item
• Strongly closed 2-subgroups of finite groups
• Frobenius categories.
• Reduced, tame and exotic fusion systems
• Extensions of $p$-local finite groups
• Saturated fusion systems over $2$-groups
• The homotopy theory of fusion systems
• Subgroup families controlling p-local finite groups

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