Fundamental theorem of projective geometry in Lie modules and algebras

1988 ◽  
Vol 42 (5) ◽  
pp. 1991-2008 ◽  
Author(s):  
A. A. Lashkhi
Keyword(s):  
Projective Geometry ◽  
Fundamental Theorem ◽  
Lie Modules

scholarly journals A note on the fundamental theorem of projective geometry

1969 ◽  
Vol 44 (1) ◽  
pp. 310-315 ◽  
Author(s):  
M. Ojanguren ◽  
R. Sridharan
Keyword(s):  
Projective Geometry ◽  
Fundamental Theorem

A variant of the fundamental theorem of projective geometry

Mathematika ◽  
1976 ◽  
Vol 23 (1) ◽  
pp. 89-93
Author(s):  
R. J. Plymen ◽  
C. M. Williams
Keyword(s):  
Projective Geometry ◽  
Fundamental Theorem

scholarly journals Group-Theoretic Axioms For Projective Geometry

1991 ◽  
Vol 43 (1) ◽  
pp. 89-107
Author(s):  
Alex D. Gottlieb ◽  
Joseph Lipman
Keyword(s):  
Projective Geometry ◽  
Equivalence Relation ◽  
Fundamental Theorem ◽  
Projective Spaces ◽  
Vector Spaces ◽  
Dimensional Vector ◽  
Linear Maps ◽  
Identity Automorphism

AbstractWe 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.

Fundamental theorem of projective geometry

1984 ◽  
Vol 12 (8) ◽  
pp. 937-952 ◽  
Author(s):  
B. Sarath ◽  
K. Varadarajan
Keyword(s):  
Projective Geometry ◽  
Fundamental Theorem

Projective Geometry

1988 ◽  
Author(s):  
Pierre Samuel
Keyword(s):  
Projective Geometry
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