Geodesic
Direct Product Decompositions of Elation Groups
Canadian mathematical bulletin, Tome 20 (1977) no. 2, pp. 173-182

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

Let G be a collineation group of a projective plane π. Let E be the subgroup generated by all elations in G. In the case that π is finite and G fixes no point or line, F. Piper [6; 7] has proved that if G contains certain combinations of perspectivities, then E is isomorphic to for some finite field g. 
Brown, Julia M. Nowlin. Direct Product Decompositions of Elation Groups. Canadian mathematical bulletin, Tome 20 (1977) no. 2, pp. 173-182. doi: 10.4153/CMB-1977-029-8
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[1] 1. Albert, A. A. and Sandler, R., An introduction to finite projective planes, (Holt, Rinehart and Winston. New York, 1968). Google Scholar

[2] 2. André, J., Über Perspektivitäten in endlichen projektiven Ebenen, Arch. Math. 6 (1955), 29-32. Google Scholar

[3] 3. Coxeter, H. S. M., Projective Geometry, 2nd ed. (University of Toronto Press, Toronto, 1974). Google Scholar

[4] 4. Hering, C., Eine Charakterisierung der endlichen zweidimensionalen projektiven Gruppen, Math. Z. 82 (1963), 152-175. Google Scholar

[5] 5. Hering, C., On shears of translation planes, Abh. Math. Sem. Univ. Hamburg 37 (1972), 258-268. Google Scholar

[6] 6. Piper, F., Collineation groups containing dations. I, Math. Z. 89 (1965), 181-191. Google Scholar

[7] 7. Piper, F., Collineation groups containing homologies, J. Algebra 6 (1967), 256-269. Google Scholar

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