Journal of Geometry

, Volume 97, Issue 1–2, pp 83–97 | Cite as

On the geometry of O’N

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Abstract

We classify the rank two BCDL 2003-geometries of O’Nan and show that the maximal rank of a BCDL 2003-geometry for O’Nan is 4. This bound is sharp since it is satisfied by the rank four geometry given by Buekenhout (Contemp Math 45:1–32, 1985).

Mathematics Subject Classification (2010)

Primary 51E24 20D08 

Keywords

O’Nan-Sims sporadic simple group incidence geometry 

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Copyright information

© Springer Basel AG 2010

Authors and Affiliations

  1. 1.Département de MathématiquesUniversité Libre de BruxellesBrusselsBelgium

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