Abstract
We prove the following: (1) a torsion-free class 2 nilpotent group is constructivizable if and only if it is isomorphic to the extension of some constructive abelian group included in the center of the group by some constructive torsion-free abelian group and some recursive system of factors; (2) a constructivizable torsion-free class 2 nilpotent group whose commutant has finite rank is orderably constructivizable.
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Original Russian Text Copyright © 2007 Khisamiev N. G.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 1, pp. 214–223, January–February, 2007.
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Khisamiev, N.G. On constructive nilpotent groups. Sib Math J 48, 172–179 (2007). https://doi.org/10.1007/s11202-007-0018-0
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DOI: https://doi.org/10.1007/s11202-007-0018-0