Finite-rank free metabelian subgroups of finitely presented metabelian groups (Q1911391)
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scientific article; zbMATH DE number 869780
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite-rank free metabelian subgroups of finitely presented metabelian groups |
scientific article; zbMATH DE number 869780 |
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Finite-rank free metabelian subgroups of finitely presented metabelian groups (English)
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5 June 1996
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The main result of this paper is Theorem. The wreath product of two finitely generated free abelian groups can be embedded in a finitely presented metabelian group that is residually torsion-free nilpotent. Corollary. A free metabelian group of finite rank is a subgroup of a finitely presented metabelian group that is also residually torsion-free nilpotent.
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wreath products
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finitely generated free Abelian groups
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finitely presented metabelian groups
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free metabelian groups
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residually torsion-free nilpotent groups
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0.871463418006897
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