Characteristic random subgroups of geometric groups and free abelian groups of infinite rank

DOI10.1090/tran/6695zbMath1373.20093arXiv1402.3705OpenAlexW1769530292MaRDI QIDQ2832997

Rostislav I. Grigorchuk, Rostyslav V. Kravchenko, Lewis Phylip Bowen

Publication date: 16 November 2016

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

Full work available at URL: https://arxiv.org/abs/1402.3705

zbMATH Keywords

free abelian groupinvariant random subgroup

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Ergodic theory on groups (22D40) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Hyperbolic groups and nonpositively curved groups (20F67) General groups of measure-preserving transformations and dynamical systems (37A15) Probabilistic methods in group theory (20P05)

Related Items (5)

Faithful invariant random subgroups in acylindrically hyperbolic groups ⋮ On dense totipotent free subgroups in full groups ⋮ On free groups in the infinitely based varieties of S. I. Adian ⋮ Invariant random subgroups of groups acting on hyperbolic spaces ⋮ Invariant random subgroups of linear groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite factor representations of Higman-Thompson groups.
• Invariant random subgroups of lamplighter groups
• Stabilizer rigidity in irreducible group actions
• On the growth of Betti numbers of locally symmetric spaces
• Some topics in the dynamics of group actions on rooted trees.
• Invariant random subgroups of the free group
• The Chabauty space of closed subgroups of the three-dimensional Heisenberg group
• WM groups and Ramsey theory
• Lectures on hyperbolic geometry
• Stabilizers for ergodic actions of higher rank semisimple groups
• Distinguished subgroups and quotients of hyperbolic groups
• On the growth of \(L^2\)-invariants for sequences of lattices in Lie groups
• A \(q\)-analogue of de Finetti's theorem
• Kesten's theorem for invariant random subgroups.
• Character rigidity for special linear groups.
• Stabilizers of ergodic actions of lattices and commensurators
• Stabilizers of actions of lattices in products of groups
• Totally nonfree actions and infinite symmetric group
• Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces
• On automorphisms of compact groups
• Lectures on Choquet's theorem

This page was built for publication: Characteristic random subgroups of geometric groups and free abelian groups of infinite rank