Finitely generated cyclic extensions of free groups are residually finite

DOI10.1017/S0004972700046906zbMath0216.08301MaRDI QIDQ5619233

Gilbert Baumslag

Publication date: 1971

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Abelian groups (20K99)

Related Items (13)

Induced characters, Mackey analysis and primitive ideal spaces of nilpotent discrete groups ⋮ Cyclic Extensions of Parafree Groups ⋮ On residual nilpotence of group extensions ⋮ Infinite groups ⋮ Reflections on the residual finiteness of one-relator groups. ⋮ Special groups with an elementary hierarchy are virtually free-by-\(\mathbb Z\). ⋮ Torsion-free subgroups of finite index in one-relator groups ⋮ On a class of one-relator groups with torsion ⋮ Ascending HNN extensions of polycyclic groups are residually finite. ⋮ VIRTUAL PROPERTIES OF CYCLICALLY PINCHED ONE-RELATOR GROUPS ⋮ $3$-Manifold Groups are Virtually Residually $p$ ⋮ Residual finiteness for central pushouts ⋮ Mapping tori of endomorphisms of free groups

Cites Work

• Unnamed Item
• On generalised free products
• Beziehungen zwischen Gruppen und Idealen in einem speziellen Ring
• Residual Properties of Infinite Soluble Groups
• The representation of a generalized free product in an associative ring
• On the Residual Finiteness of Generalised Free Products of Nilpotent Groups
• The Hopfian property for a class of fundamental groups
• Some Subgroup Theorems for Free υ-Groups
• A Remark on Finitely Generated Nilpotent Groups

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