Some parabolic systems of rank 2 related to sporadic groups

DOI10.1016/0021-8693(86)90129-8zbMath0587.20011OpenAlexW2003338029MaRDI QIDQ1072643

Bernd Stellmacher, Gernot Stroth, Jian Hua Huang

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90129-8

zbMATH Keywords

minimal parabolic subgroupsBorel subgroupparabolic systemfinite Chevalley groupsporadic finite simple groupsp-closed subgroup

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (3)

Odd automorphisms of Sylow \(2\)-subgroups of sporadic simple groups ⋮ Rank 2 amalgams related to the McLaughlin group, and to \(O_ 7(3)\) ⋮ (S\({}_ 3,S_ 5)\)- and \((S_ 3,S_ 6)\)-amalgams

Cites Work

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• On graphs with edge-transitive automorphism groups
• Tits geometries and parabolic systems in finitely generated groups. II
• Minimal parabolic geometries for the sporadic groups
• A 2-local characterization of the Rudvalis simple group
• Uber Endliche Gruppen Mit Einer ZU L 2 (2 n ) Isomorphen Faktorgruppe
• Endliche Gruppen I
• Automorphisms of trivalent graphs

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