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

Tel Aviv University, The Hebrew University of Jerusalem

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

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
Early online date	29 Dec 2022
DOIs	https://doi.org/10.1007/s11856-022-2425-0 https://doi.org/https://arxiv.org/abs/1910.11722
State	Published - Dec 2022

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s11856-022-2425-0
https://arxiv.org/abs/1910.11722License: Unspecified

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title = "Uncountably many permutation stable groups",

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.",

author = "Arie Levit and Alexander Lubotzky",

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AU - Lubotzky, Alexander

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DO - 10.1007/s11856-022-2425-0

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SP - 657

EP - 678

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 2

ER -

Uncountably many permutation stable groups

Abstract

All Science Journal Classification (ASJC) codes

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