Geodesic
How to generalize known results on equations over groups
Matematičeskie zametki, Tome 79 (2006) no. 3, pp. 409-419

Voir la notice de l'article provenant de la source Math-Net.Ru

Known facts about the solvability of equations over groups are considered from a more general point of view. The theorem about the solvability of unimodular equations over torsion-free groups is generalized. A special case of the generalization is a multivariable version of this theorem. For unimodular equations over torsion-free groups, an analog of Magnus' Freiheitssatz is proved, which asserts the existence of a solution exhibiting good behavior with respect to the free factors of the initial group. 
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     author = {A. A. Klyachko},
     title = {How to generalize known results on equations over groups},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2006},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2006_79_3_a7/}
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A. A. Klyachko. How to generalize known results on equations over groups. Matematičeskie zametki, Tome 79 (2006) no. 3, pp. 409-419. http://geodesic.mathdoc.fr/item/MZM_2006_79_3_a7/