Fusion systems and amalgams.

DOI10.1007/s00209-012-1109-6zbMath1301.20019OpenAlexW2046637366WikidataQ59756016 ScholiaQ59756016MaRDI QIDQ358871

Kasper K. S. Andersen, Joana Ventura, Robert Oliver

Publication date: 9 August 2013

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-012-1109-6

zbMATH Keywords

finite groupsfinite \(p\)-groupsamalgamsstrongly \(p\)-embedded subgroupsfusion systemsessential subgroups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Finite nilpotent groups, (p)-groups (20D15)

Related Items (9)

On exotic saturated fusion systems. ⋮ Saturated fusion systems over \(\mathcal {A}_2\)-groups ⋮ Reduced fusion systems over 2-groups of sectional rank at most 4 ⋮ Reduced fusion systems over \(p\)-groups with abelian subgroup of index \(p\). II ⋮ Reduced fusion systems over 2-groups of small order ⋮ Simple fusion systems over \(p\)-groups with abelian subgroup of index \(p\). I. ⋮ Fusion systems over \(M_p(1, 1, 1) {\times} A\)-groups ⋮ Reduced fusion systems over p-groups with abelian subgroup of index p: III ⋮ Algorithms for fusion systems with applications to 𝑝-groups of small order

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