Saturated fusion systems over $2$-groups

DOI10.1090/S0002-9947-09-04881-8zbMath1244.20015WikidataQ59756019 ScholiaQ59756019MaRDI QIDQ3648212

Joana Ventura, Robert Oliver

Publication date: 24 November 2009

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

zbMATH Keywords

finite groupssimple groupsfinite 2-groupsexotic fusion systemssaturated fusion systems

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Automorphisms of abstract finite groups (20D45)

Related Items (19)

Saturated fusion systems over \(\mathcal {A}_2\)-groups ⋮ A Krull–Remak–Schmidt theorem for fusion systems ⋮ Reduced fusion systems over 2-groups of sectional rank at most 4 ⋮ Fusion systems over a Sylow \(p\)-subgroup of \(\mathrm{G}_2(p)\) ⋮ Fusion systems and amalgams. ⋮ Reduced fusion systems over 2-groups of small order ⋮ The Wells exact sequence for the automorphism group of a group extension. ⋮ Simple fusion systems over \(p\)-groups with abelian subgroup of index \(p\). I. ⋮ Realizability and tameness of fusion systems ⋮ Control of fixed points over discrete \(p\)-toral groups, and existence and uniqueness of linking systems ⋮ Fusion systems realizing certain Todd modules ⋮ Fusion Systems on Bicyclic 2-Groups ⋮ Simplicity of fusion systems of finite simple groups ⋮ Splitting fusion systems over 2-groups ⋮ Extensions of linking systems and fusion systems ⋮ Control of fixed points and existence and uniqueness of centric linking systems ⋮ Automorphisms of fusion systems of finite simple groups of Lie typeandAutomorphisms of fusion systems of sporadic simple groups ⋮ Fusion systems ⋮ Algorithms for fusion systems with applications to 𝑝-groups of small order

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite groups with Sylow 2-subgroups of type .3
• Construction of 2-local finite groups of a type studied by Solomon and Benson
• The classification of \(p\)-local finite groups over the extraspecial group of order \(p^3\) and exponent \(p\).
• Frobenius categories.
• The simple groups related to \(M_{24}\)
• Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt fest läßt
• The maximal subgroups of Conway's group C\(_3\) and McLaughlin's group
• ON FINITE GROUPS OF EVEN ORDER WHOSE 2-SYLOW GROUP IS A QUATERNION GROUP
• Extensions of $p$-local finite groups
• The homotopy theory of fusion systems
• Subgroup families controlling p-local finite groups
• The Homology Products in K(II, n)
• The orders of the linear groups
• On a class of doubly transitive groups

This page was built for publication: Saturated fusion systems over $2$-groups