Solvable 2-local subgroups of finite groups

DOI10.1007/BF01982205zbMath0534.20009OpenAlexW1977283495MaRDI QIDQ790241

Anatoli Kondrat'ev

Publication date: 1983

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187198

zbMATH Keywords

maximal 2-local subgroupfinite simple group of characteristic 2 type

Mathematics Subject Classification ID

Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

• Suzuki 2-groups
• On finite groups having self-centralizing 2-subgroups of small order
• Finite simple groups of 2-rank 3 with all 2-local subgroups 2- constrained
• On finite simple groups in which the centralizer \(M\) of an involution is solvable and \(O_2(M)\) is extraspecial
• On finite groups in which the generalized Fitting group of the centralizer of some involution is extraspecial
• Endliche einfache Gruppen mit einer 2-lokalen Untergruppe \(E_{16}\Sigma_6\).
• Gruppen mit kleinen 2-lokalen Untergruppen
• A pushing up theorem for characteristic 2 type groups
• Nonsolvable finite groups with solvable 2-local subgroups
• On simple groups of order \(2^a 3^b 7^c\) containing a cyclic Sylow subgroup
• On Certain Groups with Parabolic-Type Subgroups over Z ₂
• Finite groups in which the generalized fitting group of the centraliser of some involution is symplectic but not extraspecial
• Finite groups whose 2-subgroups are generated by at most 4 elements
• Nonsolvable finite groups all of whose local subgroups are solvable
• On simple groups of order 5⋅3^{𝑎}⋅2^{𝑏}
• Automorphisms of trivalent graphs
• On finite affine planes of rank 3

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