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Generalized towers of flag-transitive circular extensions of a non- classical \(C_ 3\)-geometry. (English) Zbl 0805.51006
The authors’ abstract: “The classification of generalized towers of flag-transitive circular extensions of the sporadic \(A_ 7\)-geometry is completed by characterizing two flat geometries on 16 points, constructed in terms of the Steiner system \(S(24,8,5)\), as the flag-transitive circular extensions of the duals of the sporadic \(A_ 7\)-geometry and the Neumaier geometry for \(A_ 8\), and then by showing the non-existence of flag-transitive circular extensions of these geometries”.

51E24 Buildings and the geometry of diagrams
Full Text: DOI
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