A characterization of the groups \(F_ 4(2^ n)\)

DOI10.1016/0021-8693(72)90080-4zbMath0225.20011OpenAlexW2315340579MaRDI QIDQ2548656

M. M. Guterman

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0021-8693(72)90080-4

Mathematics Subject Classification ID

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

Related Items

A note on the solvability of groups., Indecomposable Sylow 2-subgroups of simple groups., Flag-transitive \(c\)-extensions of the \(F_4(2)\)-building -- the amalgams, \(\text{F}_4(2)\) and its automorphism group., Endliche Gruppen, die eine Involution z besitzen, so daß F*(C(z)) das direkte Produkt einer extraspeziellen 2-Gruppe von kleiner Weite mit einer elementarabelschen 2-Gruppe ist. II, On the probability of generating invariably a finite simple group, Finite Groups Which are Almost Groups of Lie Type in Characteristic 𝐩, Quadratic representations for groups of Lie type over fields of characteristic two., An improved characterization of the groups \(F_4(2^n)\), \(n\geq 2\), A \(\{2,3\}\)-local characterization of the groups \(A_{12}\), \(\text{Sp}_8(2)\), \(F_4(2)\) and \(F_5\)., A characterization of Fischer's sporadic simple group of the order \(2^{41}\cdot 3^{13}\cdot 5^2\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 31\cdot 47\), Radical 2-subgroups of the Monster and the Baby Monster., A characterization of the Chevalley group \(F_4(2)\)., A characterization of the groups \(E^1_2(2^{2n})\), \(n\geq 2\)., Einige Gruppen von Charakteristik 2-Typ, A characteriazation of F₄(4ⁿ) as a group with standard 3-component B₃(4ⁿ), A semiclassical parabolic system related to \(F_4\), A characterization of odd order extensions of the finite simple Chevalley groups F\(_4\)(q), q odd

Cites Work

• Unnamed Item
• Unnamed Item
• A characterization of the groups \(G_2(2^{n})\)
• On characterizations of linear groups. IV
• A Family of Simple Groups Associated with the Simple Lie Algebra of Type (F 4 )
• Characterizations of linear groups
• Simple Groups and Simple Lie Algebras