A characterization of the Ree groups \(^2F_4(q)\)

DOI10.1016/0021-8693(73)90109-9zbMath0278.20013OpenAlexW1993921867WikidataQ56384911 ScholiaQ56384911MaRDI QIDQ1394411

David Parrott

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1016/0021-8693(73)90109-9

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Finite simple groups and their classification (20D05)

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Finite BN-pairs of rank two and even characteristic, having a non-trivial Cartan subgroup, Fusion systems with 2-small components, Fusion systems with J-components over \(F_{2^e}\) with \(e>1\), Overgroup lattices in finite groups of Lie type containing a parabolic., A finite simple group is CCA if and only if it has no element of order four, Standard subgroups isomorphic to \(^2 F_4(2^n)\), The Tits group as a standard subgroup, Perspectivities of odd order and Chevalley groups, An improved characterization of the groups \(F_4(2^n)\), \(n\geq 2\), Graphs with subconstituents containing \(Sz(q)\) and \(L_2(r)\), A characterization of finite groups containing a strongly closed 2-subgroup, The characterization of Ree groups \(^2F_4(q)\) by their element orders

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