AN IDENTIFICATION THEOREM FOR GROUPS WITH SOCLE PSU

DOI10.1017/S1446788712000390zbMath1281.20014MaRDI QIDQ2840480

Gernot Stroth, Christopher Parker

Publication date: 18 July 2013

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

zbMATH Keywords

classical groupsfinite groups of Lie typeclassification of finite simple groups3-local subgroupsidentification of simple groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (3)

\(\text{F}_4(2)\) and its automorphism group. ⋮ Finite Groups Which are Almost Groups of Lie Type in Characteristic 𝐩 ⋮ Fusion systems realizing certain Todd modules

Cites Work

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• A characterization of the .2 Conway simple group
• A characterization of the simple groups PSp(4,3) and PSp(6,2)
• Character-theoretic transfer
• 2-fusion in finite groups
• A 3-local characterization of \(Co_2\).
• A 3-local identification of the alternating group of degree 8, the McLaughlin simple group and their automorphism groups.
• A 3-local characterization of \(U_6(2)\) and \(Fi_{22}\).
• ON FINITE GROUPS OF EVEN ORDER WHOSE 2-SYLOW GROUP IS A QUATERNION GROUP
• Endliche Gruppen I
• Finite Groups which Contain a Selfcentralizing Subgroup of Order 3

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