Abstract
It is shown that there exists a length function with values in a finitely generated group Λ relative to which G is a Λ-free group in any finitely generated group G.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 6, pp. 813–822, June, 1992.
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Remeslennikov, V.N. ∃-Free groups as groups with length function. Ukr Math J 44, 733–738 (1992). https://doi.org/10.1007/BF01056955
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DOI: https://doi.org/10.1007/BF01056955