Some reflections on proving groups residually torsion-free nilpotent. I.

zbMath1250.20021MaRDI QIDQ716405

Gilbert Baumslag

Publication date: 28 April 2011

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1299679751

zbMATH Keywords

fundamental groupsfree groupsone-relator groupsresidually torsion-free nilpotent groupsMagnus theorem

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Free nonabelian groups (20E05) Residual properties and generalizations; residually finite groups (20E26) Derived series, central series, and generalizations for groups (20F14)

Related Items (4)

Residual properties of groups defined by basic commutators. ⋮ Unnamed Item ⋮ Topological automorphism groups of compact quantum groups ⋮ The Bieri-Neumann-Strebel invariants via Newton polytopes

Cites Work

• Unnamed Item
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• Das Identitätsproblem für Gruppen mit einer definierenden Relation
• Beziehungen zwischen Gruppen und Idealen in einem speziellen Ring
• On a theorem of Marshall Hall
• Elements of finite order in groups with a single defining relation
• Cyclic Extensions of Parafree Groups
• Recognizing powers in nilpotent groups and nilpotent images of free groups
• On the residual nilpotence of certain one‐relator groups
• Positive One-Relator Groups
• The Hopfian property for a class of fundamental groups
• Residual nilpotence and relations in free groups

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