Geodesic
Free Planes and Collineations
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1397-1411

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

Our aim in this paper is to consolidate and extend some of the notions in (1; 2; 5; 6) concerning free planes in order to facilitate the study of their collineation groups. An upper bound mn for the orders of the finite subroups of Gn will be established, where Gn is the collineation group of the free plane ƒn of rank n + 4. In the process, a result of (6) will be generalized. Indeed, mn will be shown to be the best upper bound for all n ≠ 5. 
Alltop, W. O. Free Planes and Collineations. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1397-1411. doi: 10.4153/CJM-1968-141-2
@article{10_4153_CJM_1968_141_2,
     author = {Alltop, W. O.},
     title = {Free {Planes} and {Collineations}},
     journal = {Canadian journal of mathematics},
     pages = {1397--1411},
     year = {1968},
     volume = {20},
     number = {1},
     doi = {10.4153/CJM-1968-141-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1968-141-2/}
}
TY  - JOUR
AU  - Alltop, W. O.
TI  - Free Planes and Collineations
JO  - Canadian journal of mathematics
PY  - 1968
SP  - 1397
EP  - 1411
VL  - 20
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1968-141-2/
DO  - 10.4153/CJM-1968-141-2
ID  - 10_4153_CJM_1968_141_2
ER  - 
%0 Journal Article
%A Alltop, W. O.
%T Free Planes and Collineations
%J Canadian journal of mathematics
%D 1968
%P 1397-1411
%V 20
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1968-141-2/
%R 10.4153/CJM-1968-141-2
%F 10_4153_CJM_1968_141_2

[1] 1. Dembowski, Peter, Frète und offerte projektive Ebenen, Math. Z. 72 (1959/60), 410–438. Google Scholar

[2] 2. Hall, M., Projective planes, Trans. Amer. Math. Soc. 54 (1943), 229–277. Google Scholar

[3] 3. Hammer, P. C., Kuratowskïs closure theorem, Nieuw Arch. Wisk. (3) 8 (1960), 74–80. Google Scholar

[4] 4. Iden, O., Free planes. I, Math. Z. 99 (1967), 117–122. Google Scholar

[5] 5. Kopeikina, L. I., Freie Zerlegungen projektiver Ebenen, Izv. Akad. Nauk SSSRSer. Mat. 9 1945), 495–526. (German translation from Russian privately circulated) Google Scholar

[6] 6. Lippi, Marco, Sugli elementi uniti nette collineazioni del piani Überi e del piani aperti. I ; II, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 40 (1966), 233-237; 379–384. Google Scholar

[7] 7. Pickert, G., Projektive Ebenen (Springer-Verlag, Berlin, 1955).10.1007/978-3-662-00110-3 Google Scholar | DOI

[8] 8. Sandler, Reuben, The collineation groups of free planes. Trans. Amer. Math. Soc. 107 (1963), Google Scholar

Cité par Sources :