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Solvability of the membership problem in finitely generated solvable matrix groups over number fields

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Literature cited

  1. V. M. Kopytov, "Solvability of the membership problem in finitely generated solvable groups of matrices over the field of algebraic numbers," Algebra i Logika,7, No. 6, 53–63 (1968).

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  2. O. Zariski and P. Samuel, Commutative Algebra, Van Nostrand, Princeton (1958).

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  3. G. Hermann, "Die Frage der endlich vielen Schritte in der Theorie der Polynomideale," Math. Ann.,95, No. 5, 736–788 (1926).

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  4. B. L. van der Waerden, Modern Algebra [Russian translation], Vol. 1, Frederick Ungar, New York (1943).

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  5. Yu. I. Merzlyakov, Rational Groups [in Russian], Vol. 1, Novosibirsk (1967).

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Translated from Algebra i Logika, Vol. 10, No. 2, pp. 169–182, March–April, 1971.

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Kopytov, V.M. Solvability of the membership problem in finitely generated solvable matrix groups over number fields. Algebr Logic 10, 108–116 (1971). https://doi.org/10.1007/BF02219976

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  • DOI: https://doi.org/10.1007/BF02219976

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