Limit groups over partially commutative groups and group actions on real cubings

DOI10.2140/gt.2015.19.725zbMath1355.20030arXiv1110.0174OpenAlexW2036227427MaRDI QIDQ2343337

Montserrat Casals-Ruiz, Ilya V. Kazachkov

Publication date: 5 May 2015

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0174

zbMATH Keywords

group actionsright-angled Artin grouppartially commutative groupcube complexesequations in groupsgeneralizations of cube complexes

Mathematics Subject Classification ID

Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67) Residual properties and generalizations; residually finite groups (20E26) Groups acting on trees (20E08) Algebraic geometry over groups; equations over groups (20F70)

Related Items (10)

On the Bieri-Neumann-Strebel-Renz invariants and limit groups over Droms RAAGs ⋮ Effective construction of covers of canonical Hom-diagrams for equations over torsion-free hyperbolic groups ⋮ Automorphisms of groups and a higher rank JSJ decomposition. I: RAAGs and a higher rank Makanin-Razborov diagram ⋮ Limit groups over coherent right-angled Artin groups ⋮ Limit groups over coherent right-angled Artin groups are cyclic subgroup separable ⋮ On subdirect products of type FP_n of limit groups over Droms RAAGs ⋮ Superrigidity of actions on finite rank median spaces ⋮ The Tits alternative for finite rank median spaces ⋮ On subgroups of right angled Artin groups with few generators ⋮ On automorphisms and splittings of special groups

Cites Work

• Unnamed Item
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• Krull dimension for limit groups.
• Hereditary conjugacy separability of right-angled Artin groups and its applications.
• Volume gradients and homology in towers of residually-free groups
• Quadratic equations over free groups and free products
• Asymptotically CAT(0) groups.
• Divergence and quasimorphisms of right-angled Artin groups.
• Elementary theory of free non-abelian groups.
• Finite index subgroups of graph products.
• Coxeter groups are virtually special
• Normal subgroups in duality groups and in groups of cohomological dimension 2
• Algebraic geometry over groups. I: Algebraic sets and ideal theory
• On representations of Artin groups and the Tits conjecture
• Morse theory and finiteness properties of groups
• Irreducible affine varieties over a free group. I: Irreducibility of quadratic equations and Nullstellensatz
• Irreducible affine varieties over a free group. II: Systems in triangular quasi-quadratic form and description of residually free groups
• Approximations of stable actions on \(\mathbb{R}\)-trees
• Limit groups as limits of free groups.
• Diophantine geometry over groups. II: Completions, closures and formal solutions
• Algebraic geometry over groups. II: Logical foundations
• Diophantine geometry over groups. I: Makanin-Razborov diagrams
• Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups.
• On asymptotic cones and quasi-isometry classes of fundamental groups of 3-manifolds
• Coarse median spaces and groups.
• Rank gradient and cost of Artin groups and their relatives.
• Implicit function theorem over free groups.
• Parabolic and quasiparabolic subgroups of free partially commutative groups.
• Special cube complexes
• Diophantine geometry over groups. VI: The elementary theory of a free group.
• \(\exists\)-free groups
• On systems of equations over free partially commutative groups
• UNIVERSAL TREE-GRADED SPACES AND ASYMPTOTIC CONES
• EXPLICIT CONSTRUCTIONS OF UNIVERSAL ℝ-TREES AND ASYMPTOTIC GEOMETRY OF HYPERBOLIC SPACES
• SOLVABILITY OF EQUATIONS IN GRAPH GROUPS IS DECIDABLE
• Elements of Algebraic Geometry and the Positive Theory of Partially Commutative Groups
• Unification theorems in algebraic geometry
• Complete Trees for Groups with a Real-Valued Length Function
• Universal Spaces for R-Trees
• PARTIALLY COMMUTATIVE MAGNUS TRANSFORMATIONS
• Abstract length functions in groups
• Kommutationsgleichungen in semifreien gruppen
• Finitely presented simple groups and products of trees
• Ends of Group Pairs and Non-Positively Curved Cube Complexes
• A Generating Set for the Automorphism Group of a Graph Group
• Virtual cubulation of nonpositively curved graph manifolds
• A Finitely Presented Group Whose 3-Dimensional Integral Homology is not Finitely Generated

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