A characterization of finite groups containing a strongly closed 2-subgroup

DOI10.1080/00927879708825876zbMath0882.20009OpenAlexW2066612755MaRDI QIDQ3124361

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Publication date: 9 March 1998

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

Full work available at URL: https://doi.org/10.1080/00927879708825876

zbMATH Keywords

finite groupscomposition factorsSylow \(p\)-subgroupsstrong closuredirect products of groupsstrongly closed \(2\)-subgroupsstrongly closed \(p\)-subgroupsstrongly closed Abelian \(2\)-subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite simple groups and their classification (20D05)

Related Items (10)

Strongly closed subgroups of finite groups. ⋮ 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 ⋮ On finite \(p\)-groups of supersoluble type ⋮ The cellular structure of the classifying spaces of finite groups ⋮ The generalized Fitting subsystem of a fusion system ⋮ Fusion systems ⋮ Sylow 2-subgroups of galois groups arising as minimal counterexamples to artin's conjecture ⋮ Heilbronn characters

Cites Work

• Unnamed Item
• On finite groups of Lie type and odd characteristic
• A characterization of Chevalley groups over fields of odd order. I, II
• A characterization of the Ree groups \(^2F_4(q)\)
• On split \((B,N)\)-pairs of rank 2
• A characterization of the groups \(G_2(2^{n})\)
• A characterization of the Steinberg groups \(D_ 4^ 2(q^ 3), q = 2^ n\)

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