The third commutant membership problem in solvable groups (Q1288228)
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scientific article; zbMATH DE number 1286293
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The third commutant membership problem in solvable groups |
scientific article; zbMATH DE number 1286293 |
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The third commutant membership problem in solvable groups (English)
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11 May 1999
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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.
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finitely presented solvable groups
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occurrence problem
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Minsky machine
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solvable word problem
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