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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”.

##### MSC:
 5.1e+25 Buildings and the geometry of diagrams
##### Keywords:
tower; circular extensions
Full Text:
##### References:
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