Uncountably many permutation stable groups
Group Theory
2019-10-28 v1 Dynamical Systems
Abstract
In a 1937 paper B.H. Neumann constructed an uncountable family of -generated groups. We prove that all of his groups are permutation stable by analyzing the structure of their invariant random subgroups.
Cite
@article{arxiv.1910.11722,
title = {Uncountably many permutation stable groups},
author = {Arie Levit and Alexander Lubotzky},
journal= {arXiv preprint arXiv:1910.11722},
year = {2019}
}