On constructive nilpotent groups |
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Authors: | N. G. Khisamiev |
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Affiliation: | (1) East Kazakhstan State Technical University, Ust’-Kamenogorsk, Kazakhstan |
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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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Keywords: | constructive group nilpotent group computable subgroup center system of factors |
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