Geodesic
On Finite Collineation Groups of F 5
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 217-221

Voir la notice de l'article provenant de la source Cambridge University Press

Our aim in this paper is to fill one gap left in (1) and to prove that if H is a finite collineation group of F 5, the free plane generated by a finite open configuration of rank 9, then |H | ≦ 12. Alltop has shown that |H | ≦ 24 and that there exist finite collineation groups of F 5 which have order 12, so that the argument in this paper shows that |H| ≦ 12 is the best estimate which can be given. In (1), Alltop has completely settled the question for Fn, n ≠ 5. The notation of this paper will generally be that of (1).Most of the arguments used here will consist of case analyses of degenerate planes of ranks 7 and 8 and will be sketched rather than given in detail. The one theorem of some interest in this paper, other than the main result, is the following theorem which yields some information about the collineation group of F 4 (π 2 in the notation of (4)). 
Sandler, Reuben. On Finite Collineation Groups of F 5. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 217-221. doi: 10.4153/CJM-1969-021-4
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