Cyclic Extensions of Parafree Groups

DOI10.2307/1998066zbMath0452.20036OpenAlexW4235707182MaRDI QIDQ3898668

P. C. Wong

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/1998066

zbMATH Keywords

lower central seriesfinitely generated normal subgroupinfinite cyclic extensions of parafree groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other classes of groups defined by subgroup chains (20F22) Extensions, wreath products, and other compositions of groups (20E22) Free nonabelian groups (20E05) Residual properties and generalizations; residually finite groups (20E26) Derived series, central series, and generalizations for groups (20F14)

Related Items (2)

Some reflections on proving groups residually torsion-free nilpotent. I. ⋮ Parafree one-relator groups

Cites Work

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• On finitely generated subgroups of a free product
• Intersections of Finitely Generated Subgroups in Free Products
• Some groups that are just about free
• Groups with the same lower Central Sequence as a Relatively Free Group. I The Groups
• Generalized Free Products whose Two-Generator Subgroups are Free
• More groups that are just about free
• Groups with the Same lower Central Sequence as a Relatively Free Group. II. Properties
• On Groups with One Defining Relation Having an Abelian Normal Subgroup
• Finitely generated cyclic extensions of free groups are residually finite
• The Subgroups of a Free Product of Two Groups with an Amalgamated Subgroup
• A non-cyclic, locally free, free-by-cyclic group all of whose finite factor groups are cyclic
• On the Finitely Generated Subgroups of an Amalgamated Product of Two Groups
• A Finitely Presented Metabelian Group with a Free Abelian Derived Group of Infinite Rank

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