Invariant random subgroups of strictly diagonal limits of finite symmetric groups

DOI10.1112/blms/bdu060zbMath1342.37005arXiv1402.4837OpenAlexW2594110771MaRDI QIDQ2922866

Simon Thomas, Robin D. Tucker-Drob

Publication date: 15 October 2014

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4837

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) General groups of measure-preserving transformations and dynamical systems (37A15) Subgroups of symmetric groups (20B35)

Related Items (11)

Uniformly recurrent subgroups of simple locally finite groups ⋮ Invariant random subgroups of inductive limits of finite alternating groups ⋮ Orbit equivalence rigidity for product actions ⋮ On invariant random subgroups of block-diagonal limits of symmetric groups ⋮ Universal locally finite maximally homogeneous semigroups and inverse semigroups ⋮ Measures and stabilizers of group Cantor actions ⋮ Invariant random subgroups of semidirect products ⋮ Invariant random subgroups of groups acting on rooted trees ⋮ Unimodular measures on the space of all Riemannian manifolds ⋮ Invariant random subgroups of linear groups ⋮ Characters and invariant random subgroups of the finitary symmetric group

Cites Work

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• On the orders of Primitive Permutation Groups
• The Structure of Hyperfinite Borel Equivalence Relations
• Pointwise theorems for amenable groups
• POSITIVE DEFINITE FUNCTIONS OF DIAGONAL LIMITS OF FINITE ALTERNATING GROUPS
• Totally nonfree actions and infinite symmetric group
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