Diffuse invariant random subgroups
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- Proc. Amer. Math. Soc. 150 (2022), 5417-5419 Request permission
Abstract:
There exist countable groups $G$ with ergodic invariant random subgroups $\nu$ such that $\nu (\, \{\, H \in \mathrm {Sub}_{G} \mid H \cong K \,\}\,) = 0$ for every subgroup $K \leqslant G$.References
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Additional Information
- Simon Thomas
- Affiliation: Department of Mathematics, Rutgers University, Piscataway, New Jersey 08854-8019
- MR Author ID: 195740
- Email: simon.rhys.thomas@gmail.com
- Received by editor(s): January 22, 2022
- Received by editor(s) in revised form: February 25, 2022
- Published electronically: June 30, 2022
- Communicated by: Martin Liebeck
- © Copyright 2022 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 150 (2022), 5417-5419
- MSC (2020): Primary 37A15
- DOI: https://doi.org/10.1090/proc/16089