Parafree one-relator groups

DOI10.1515/JGT.2006.013zbMath1109.20025MaRDI QIDQ5471277

Gilbert Baumslag, Sean Cleary

Publication date: 6 June 2006

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

free groupsisomorphism problemlower central seriesresidually nilpotent groupsparafree groupsone-relator parafree groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Residual properties and generalizations; residually finite groups (20E26) Derived series, central series, and generalizations for groups (20F14)

Related Items (3)

Soluble product of parafree Lie algebras and its residual properties ⋮ Twisted Alexander ideals and the isomorphism problem for a family of parafree groups ⋮ Parafree metabelian Lie algebras which are determined by parafree Lie algebras

Cites Work

• Beziehungen zwischen Gruppen und Idealen in einem speziellen Ring
• The isomorphism problem for hyperbolic groups. I
• On equivalent sets of elements in a free group
• Cyclic Extensions of Parafree Groups
• Groups with the same lower Central Sequence as a Relatively Free Group. I The Groups
• More groups that are just about free
• On the residual nilpotence of certain one‐relator groups
• Über freie Faktorgruppen und freie Untergruppen gegebener Gruppen

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