Residual properties of groups defined by basic commutators.

DOI10.4171/GGD/242zbMath1316.20032arXiv1301.4629OpenAlexW2962846215MaRDI QIDQ473134

Gilbert Baumslag, Roman Mikhailov

Publication date: 21 November 2014

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.4629

zbMATH Keywords

one-relator groupscommutator calculusbasic commutatorsHydra groupsresidual nilpotence

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Residual properties and generalizations; residually finite groups (20E26) Commutator calculus (20F12)

Related Items (2)

Unnamed Item ⋮ Residual properties of groups defined by basic commutators.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hydra groups.
• Residual properties of groups defined by basic commutators.
• Some reflections on proving groups residually torsion-free nilpotent. I.
• Some sufficient conditions for a group to be nilpotent
• On generalised free products
• The residual nilpotence of the multiplicative group of a skew field generated by universal enveloping algebras
• On amalgamated free products of residually \(p\)-finite groups
• Stability of lower central series of compact 3-manifold groups
• Beziehungen zwischen Gruppen und Idealen in einem speziellen Ring
• On the descending central series of groups with a single defining relation
• Amalgams of \(p\)-groups.
• Residual Properties of Infinite Soluble Groups
• Elements of finite order in groups with a single defining relation
• Groups With Parametric Exponents
• Homological localization towers for groups and Π-modules
• Basic commutators as relators
• A Contribution to the Theory of Groups of Prime-Power Order
• Recognizing powers in nilpotent groups and nilpotent images of free groups
• Groups with the same lower Central Sequence as a Relatively Free Group. I The Groups
• On the residual nilpotence of certain one‐relator groups
• The Residual Nilpotence of Wreath Products
• Über Gruppen und zugeordneten Liesche Ringe.
• Sur les groupes nilpotents et les anneaux de Lie

This page was built for publication: Residual properties of groups defined by basic commutators.