Geodesic
A~finitely presented solvable group with unsolvable word problem
Izvestiya. Mathematics , Tome 19 (1982) no. 1, pp. 151-169

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In this paper an example is constructed of a solvable group of length 3 with unsolvable word problem that is finitely presented in the class of all groups. Bibliography: 9 titles. 
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     author = {O. G. Kharlampovich},
     title = {A~finitely presented solvable group with unsolvable word problem},
     journal = {Izvestiya. Mathematics },
     pages = {151--169},
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     number = {1},
     year = {1982},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1982_19_1_a8/}
}
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O. G. Kharlampovich. A~finitely presented solvable group with unsolvable word problem. Izvestiya. Mathematics , Tome 19 (1982) no. 1, pp. 151-169. http://geodesic.mathdoc.fr/item/IM2_1982_19_1_a8/