Une propriété du groupe á 168 éléments
DOI:
https://doi.org/10.4067/S0716-09172005000300001Abstract
Let e be an affine space of dimension n over a field
the affine group of e, G the corresponding linear group. To each point 
corresponds a section 
of the canonical map 
to the linear map 
corresponds the affine map 
wich has 
as associated linear map and a as fixed point. We proove that every section is of this type, except in the only one case where K = F2 and n = 3.
References
[1] Arnaudiés J. M., Bertin J. Groupes, Algébres et Géeoméetrie, Ellipses, (1993).
[2] Coxeter H. S. M., Introduction to geomtry (J. Wiley and Sons, (1989).
[3] Dieudonnée J., Algébre linéeaire et géeoméetrie éeléementaire, Hermann, (1968).
[4] Hilbert D. et Cohn-Vossen S. Geometry and the imagination, Chelsea, (1952).
[5] Mac Lane S. Homology, Springer-Verlage, (1963).
[6] Perrin D., Cours d'algébre, Ellipses, (1996).
[7] Samuel P., Géeoméetrie projective, PUF, (1986).
[2] Coxeter H. S. M., Introduction to geomtry (J. Wiley and Sons, (1989).
[3] Dieudonnée J., Algébre linéeaire et géeoméetrie éeléementaire, Hermann, (1968).
[4] Hilbert D. et Cohn-Vossen S. Geometry and the imagination, Chelsea, (1952).
[5] Mac Lane S. Homology, Springer-Verlage, (1963).
[6] Perrin D., Cours d'algébre, Ellipses, (1996).
[7] Samuel P., Géeoméetrie projective, PUF, (1986).
Published
2017-04-20
How to Cite
[1]
R. Globot, “Une propriété du groupe á 168 éléments”, Proyecciones (Antofagasta, On line), vol. 24, no. 3, pp. 181-203, Apr. 2017.
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