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MR1043446 (91f:03077) 03C60 (20E05 20F10)
Remeslennikov, V. N. $\exists$-free groups. (Russian) Sibirsk. Mat. Zh. 30 (1989), no. 6, 193--197; translation in Siberian Math. J. 30 (1989), no. 6, 998–1001 (1990)
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