# L'INTERPRÉTATION MATRICIELLE DE LA THÉORIE DE MARKOFF CLASSIQUE

```@article{Perrine2002LINTERPRTATIONMD,
title={L'INTERPR{\'E}TATION MATRICIELLE DE LA TH{\'E}ORIE DE MARKOFF CLASSIQUE},
author={Serge Perrine},
journal={International Journal of Mathematics and Mathematical Sciences},
year={2002},
volume={32},
pages={193-262}
}```
• S. Perrine
• Published 2002
• Mathematics
• International Journal of Mathematics and Mathematical Sciences
On explicite l'approche de Cohn (1955) de la theorie de Markoff. On montre en particulier comment l'arbre complet des solutions de l'equation diophantienne associee apparasit comme quotient du groupe GL (2,ℤ) des matrices 2×2 a coefficients entiers et de determinant ±1 par un sous-groupe diedral D6 a 12 elements. Differents developpements intermediaires sont faits autour du groupe Aut (F 2)des automorphismes du groupe libre engendre par deux elements F 2.

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