Abstract
This paper contributes to the classification of flag transitive c:F4-geometries. Here, under some mild extra conditions, we determine those geometries in which the point-residue is a building of type F4(2) and we show that the automorphism groups are 2E6(2) : 2 or 3. 2E6(2) : 2 or E6(2) : 2 or 226 : F4(2). This work was started by Corinna Wiedorn. In this paper we follow her ideas and just show that the corresponding amalgams are uniquely determined.
Published Online: 2012-12-11
Published in Print: 2012-10
© 2012 by Walter de Gruyter GmbH & Co.
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Articles in the same Issue
- Masthead
- Barycenters in Alexandrov spaces of curvature bounded below
- Isoperimetric problems in sectors with density
- Around A. D. Alexandrov’s uniqueness theorem for convex polytopes
- A relative isoperimetric inequality for certain warped product spaces
- Markov’s inequality in the o-minimal structure of convergent generalized power series
- Minimal area conics in the elliptic plane
- Geometry of semi-tube domains in ℂ2
- Flag transitive c:F4(2)-geometries
- Majorana representations of L3(2)
- A characterization of multiple (n – k)-blocking sets in projective spaces of square order
Articles in the same Issue
- Masthead
- Barycenters in Alexandrov spaces of curvature bounded below
- Isoperimetric problems in sectors with density
- Around A. D. Alexandrov’s uniqueness theorem for convex polytopes
- A relative isoperimetric inequality for certain warped product spaces
- Markov’s inequality in the o-minimal structure of convergent generalized power series
- Minimal area conics in the elliptic plane
- Geometry of semi-tube domains in ℂ2
- Flag transitive c:F4(2)-geometries
- Majorana representations of L3(2)
- A characterization of multiple (n – k)-blocking sets in projective spaces of square order