Geodesic
Factorization of Affinities
Canadian journal of mathematics, Tome 31 (1979) no. 2, pp. 354-362

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

The decomposition of mappings into a minimal number of simple mappings is a common sight in geometry. One well-known instance is the representation of a plane motion by three reflections (see e.g. H. S M. Coxeter [3]) or the representation of equiaffinities by a minimal number of shears or reflections ([14], [5], [7], [8]). Theorems of this nature not only give valuable insight into the nature of the mapping, but they are also often used as a base for characterization theories (see e.g. F. Bachmann [2], M. Götzky [10]). A more abstract version of the same type of results is the famous Cartan-Dieudonné theorem. Its usefulness is indisputable. P. Scherk [13] gave a refined version of this theorem. 
Ellers, Erich W. Factorization of Affinities. Canadian journal of mathematics, Tome 31 (1979) no. 2, pp. 354-362. doi: 10.4153/CJM-1979-040-4
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