Geodesic
Parametric equations in free groups
Matematičeskie zametki, Tome 58 (1995) no. 4, pp. 569-581 Cet article a éte moissonné depuis la source Math-Net.Ru

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We introduce the notion of a parametric equation in a free group; this is an equation containing natural parameters as exponents and a system of linear Diophantine equations relating these exponents. For these equations, we introduce elementary transformations that are necessary for the description of general solutions of ordinary equations in a free group. We prove that it is possible to linearize any relation among parameters that appears in the course of transformations of the given equation. 
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     author = {Yu. I. Ozhigov},
     title = {Parametric equations in free groups},
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     pages = {569--581},
     year = {1995},
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     url = {http://geodesic.mathdoc.fr/item/MZM_1995_58_4_a8/}
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Yu. I. Ozhigov. Parametric equations in free groups. Matematičeskie zametki, Tome 58 (1995) no. 4, pp. 569-581. http://geodesic.mathdoc.fr/item/MZM_1995_58_4_a8/

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