Uniform rank gradient, cost, and local-global convergence

DOI10.1090/tran/8008zbMath1480.20107arXiv1710.10431OpenAlexW2997501832MaRDI QIDQ5218237

Miklós Abért, László Márton Tóth

Publication date: 2 March 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.10431

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Chains and lattices of subgroups, subnormal subgroups (20E15) Asymptotic properties of groups (20F69) Residual properties and generalizations; residually finite groups (20E26) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (3)

Asymptotic invariants of lattices in locally compact groups ⋮ On a curious problem and what it lead to ⋮ Non-standard limits of graphs and some orbit equivalence invariants

Cites Work

• The rank gradient from a combinatorial viewpoint.
• Rank gradient, cost of groups and the rank versus Heegaard genus problem
• Rank, combinatorial cost, and homology torsion growth in higher rank lattices
• Expanders, rank and graphs of groups
• Cost of equivalence relations and groups
• Non-standard limits of graphs and some orbit equivalence invariants
• The combinatoral cost
• Limits of locally-globally convergent graph sequences
• Ergodic theory of amenable group actions. I: The Rohlin lemma
• Amenability, Kazhdan's property T, strong ergodicity and invariant means for ergodic group-actions
• Dynamical properties of profinite actions
• Bernoulli actions are weakly contained in any free action
• Sparse graphs: Metrics and random models
• Unnamed Item

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