Geodesic
Compact 16-Dimensional Projective Planes with Large Collineation Groups. IV
Canadian journal of mathematics, Tome 39 (1987) no. 4, pp. 908-919

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Let be a topological projective plane with compact point set P of finite (covering) dimension. In the compact-open topology (of uniform convergence), the group Σ of continuous collineations of is a locally compact transformation group of P.THEOREM. If dim Σ > 40, thenis isomorphic to the Moufang plane 6 over the real octonions (and dim Σ = 78).By [3] the translation planes with dim Σ = 40 form a one-parameter family and have Lenz type V. Presumably, there are no other planes with dim Σ = 40, cp. [17]. 
Salzmann, Helmut. Compact 16-Dimensional Projective Planes with Large Collineation Groups. IV. Canadian journal of mathematics, Tome 39 (1987) no. 4, pp. 908-919. doi: 10.4153/CJM-1987-045-4
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