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Some results of this article were announced by the author in [1], and the original variant of the proof of these results was published in [2]
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 2, pp. 84–103, March–April, 1984
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Brodskii, S.D. Equations over groups, and groups with one defining relation. Sib Math J 25, 235–251 (1984). https://doi.org/10.1007/BF00971461
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DOI: https://doi.org/10.1007/BF00971461