Limit groups over coherent right-angled Artin groups are cyclic subgroup separable

DOI10.1307/MMJ/20216031zbMath1530.20105arXiv2101.10458MaRDI QIDQ6187401

Unnamed Author

Publication date: 15 January 2024

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.10458

zbMATH Keywords

hyperbolic groupsubgroup separabilityArtin grouplimit group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Braid groups; Artin groups (20F36) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26)

Cites Work

• Graph groups, coherence, and three-manifolds
• Limit groups for relatively hyperbolic groups. II: Makanin-Razborov diagrams.
• Residual finiteness of the free product of two groups with commuting subgroups
• The structure of limit groups over hyperbolic groups
• Limit groups as limits of free groups.
• Diophantine geometry over groups. I: Makanin-Razborov diagrams
• Groups with exponents. I: Fundamentals of the theory and tensor completions
• Limit groups over partially commutative groups and group actions on real cubings
• Hall's theorem for limit groups.
• Limits of relatively hyperbolic groups and Lyndon's completions.
• Limit groups over coherent right-angled Artin groups
• On the cyclic subgroup separability of the free product of two groups with commuting subgroups
• Subgroup separability, knot groups and graph manifolds

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