Geodesic
Group-Theoretic Axioms For Projective Geometry
Canadian journal of mathematics, Tome 43 (1991) no. 1, pp. 89-107

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

We show that a certain category G whose objects are pairs G ⊃ H of groups subject to simple axioms is equivalent to the category of ≥ 2-dimensional vector spaces and injective semi-linear maps; and deduce via the "Fundamental Theorem of Projective Geometry" that the category of ≥ 2-dimensional projective spaces is equivalent to the quotient of a suitable subcategory of G by the least equivalence relation which identifies conjugation by any element of H with the identity automorphism of G.
DOI : 10.4153/CJM-1991-006-2
Mots-clés : groups, semi-linear maps, projective geometry, equivalence of categories, 15A99, 20F29, 51A05 
Gottlieb, Alex D.; Lipman, Joseph. Group-Theoretic Axioms For Projective Geometry. Canadian journal of mathematics, Tome 43 (1991) no. 1, pp. 89-107. doi: 10.4153/CJM-1991-006-2
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