A geometric characterization of the groups Suz and HS

DOI10.1016/0021-8693(90)90077-2zbMath0704.20015OpenAlexW2084042678MaRDI QIDQ916780

Richard M. Weiss, Yoshiara, Satoshi

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-8693(90)90077-2

zbMATH Keywords

generalized quadranglescomplete graphHigman-Sims group\(c.C_ 2\)-geometryflag transitive grouppoint residuesrank 3-geometrysporadic Suzuki group

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Geometric group theory (20F65) Combinatorial geometries and geometric closure systems (51D20) Other finite nonlinear geometries (51E25)

Related Items (8)

Generalized towers of flag-transitive circular extensions of a non- classical \(C_ 3\)-geometry ⋮ A classification of flag-transitive classical \(c.C_ 2\)-geometries by means of generators and relations ⋮ Some polar towers ⋮ A locally polar geometry associated with the group HS ⋮ A locally polar geometry associated with the group HS ⋮ Structure of the maximal -local geometry point-line collinearity graph ⋮ Groups for geometries in given diagrams. II: On a characterization of the group Aut(HS) ⋮ A computer-free proof of a theorem of Weiss and Yoshiara

Cites Work

• Flag-transitive extensions of \(C_ n\) geometries
• Extended generalized quadrangles
• Locally polar spaces and related rank 3 groups
• Einfache Gruppen, die von einer Konjugiertenklasse von Elementen der Ordnung drei erzeugt werden
• Transitive Extensions of a Class of Doubly Transitive Groups
• A locally polar geometry associated with the group HS
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