Uncountably many permutation stable groups

Arie Levit; Alexander Lubotzky

doi:10.1007/s11856-022-2425-0

Uncountably many permutation stable groups

Arie Levit^*
, Alexander Lubotzky

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In a 1937 paper B. H. Neumann constructed an uncountable family of 2-generated groups. We prove that all of his groups are permutation stable by analyzing the structure of their invariant random subgroups.

Original language	English
Pages (from-to)	657-678
Number of pages	22
Journal	Israel Journal of Mathematics
Volume	251
Issue number	2
DOIs	https://doi.org/10.1007/s11856-022-2425-0
State	Published - Dec 2022

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Publisher Copyright:
© 2022, The Hebrew University of Jerusalem.

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Uncountably many permutation stable groups

Abstract

Bibliographical note

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