Uncountably many permutation stable groups

Arie Levit; Alexander Lubotzky

doi:10.1007/s11856-022-2425-0

Uncountably many permutation stable groups

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
State	Published - Dec 2022

ASJC Scopus subject areas

General Mathematics

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10.1007/s11856-022-2425-0

https://arxiv.org/abs/1910.11722License: Other

Cite this

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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.",

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AB - 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.

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JO - Israel Journal of Mathematics

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Uncountably many permutation stable groups

Abstract

ASJC Scopus subject areas

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