Algebraic subgroups of acylindrically hyperbolic groups

DOI10.1016/j.jalgebra.2016.11.029zbMath1439.20053arXiv1511.08297OpenAlexW2963407123MaRDI QIDQ511848

Yong-Cai Geng, Sumit K. Garg

Publication date: 22 February 2017

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.08297

zbMATH Keywords

equations over groupsacylindrically hyperbolic groupsgeometric group theory

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67) Algebraic geometry over groups; equations over groups (20F70)

Cites Work

• Unnamed Item
• Unnamed Item
• On topologizable and non-topologizable groups
• Small cancellation in acylindrically hyperbolic groups
• The verbal topology of a group
• Algebraic geometry over groups. I: Algebraic sets and ideal theory
• Combination of convergence groups.
• Bounded cohomology of subgroups of mapping class groups
• Die Untergruppen der freien Produkte von beliebigen Gruppen
• Acylindrical hyperbolicity of groups acting on trees
• Acylindrically hyperbolic groups
• On acylindrical hyperbolicity of groups with positive first ℓ²-Betti number
• Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
• DEFINABLE SETS IN A HYPERBOLIC GROUP
• Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces
• Diophantine geometry over groups VII: The elementary theory of a hyperbolic group
• ELEMENTARY SUBGROUPS OF RELATIVELY HYPERBOLIC GROUPS AND BOUNDED GENERATION
• Relatively hyperbolic groups

This page was built for publication: Algebraic subgroups of acylindrically hyperbolic groups