Diffuse invariant random subgroups

descriptionPublicationkeyboard_double_arrow_right Article 30 Jun 2022 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 150, pages 5,417-5,419 (issn: 0002-9939, eissn: 1088-6826,

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Authors: Thomas, Simon;

doi: 10.1090/proc/16089

Diffuse invariant random subgroups

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Abstract

There exist countable groups G G with ergodic invariant random subgroups ν \nu such that ν ( { H ∈ S u b G ∣ H ≅ K } ) = 0 \nu (\, \{\, H \in \mathrm {Sub}_{G} \mid H \cong K \,\}\,) = 0 for every subgroup K ⩽ G K \leqslant G .

Related Organizations

Rutgers, The State University of New Jersey
United States

Keywords

ergodic invariant random subgroups, General groups of measure-preserving transformations and dynamical systems, Ergodic theory on groups, Measurable group actions, countable groups

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