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} }
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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