Geodesic
Systems of equations in a~free group.~I
Izvestiya. Mathematics , Tome 5 (1971) no. 6, pp. 1245-1276

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An algorithm for solving a class of systems of equations in a free group is constructed, and the structure of the general solution is studied. 
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     author = {Yu. I. Khmelevskii},
     title = {Systems of equations in a~free {group.~I}},
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     number = {6},
     year = {1971},
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Yu. I. Khmelevskii. Systems of equations in a~free group.~I. Izvestiya. Mathematics , Tome 5 (1971) no. 6, pp. 1245-1276. http://geodesic.mathdoc.fr/item/IM2_1971_5_6_a4/