The third commutant membership problem in solvable groups
It is known that, for every finitely generated and recursively defined group, the second commutant membership problem is solvable [see \textit{I. V. Latkin}, Sib. Mat. Zh. 28, No. 5(165), 102-110 (1987; Zbl 0654.03027)]. In the article under review, the following theorem is proven: There is a finitely presented solvable group of derived length 4 for which the word problem is solvable and the third commutant membership problem is unsolvable.
scientific article; zbMATH DE number 1286293