On constructive nilpotent groups
Copyright policy )On constructive nilpotent groups
Summary: 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.
center, Nilpotent groups, Computable structure theory, computable model theory, Applications of logic to group theory, Ordered groups, nilpotent groups, systems of factors, Theory of numerations, effectively presented structures, computable subgroups, constructive groups
center, Nilpotent groups, Computable structure theory, computable model theory, Applications of logic to group theory, Ordered groups, nilpotent groups, systems of factors, Theory of numerations, effectively presented structures, computable subgroups, constructive groups
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