Virtually free groups are stable in permutations

Nir Lazarovich; Arie Levit

doi:https://doi.org/10.4171/GGD/735

Virtually free groups are stable in permutations

Nir Lazarovich, Arie Levit

Technion - Israel Institute of Technology, Tel Aviv University

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

Abstract

We prove that finitely generated virtually free groups are stable in permutations. As an application, we show that almost-periodic almost-automorphisms of labelled graphs are close to periodic automorphisms.

Original language	English
Pages (from-to)	1417-1434
Number of pages	18
Journal	Groups, Geometry, and Dynamics
Volume	17
Issue number	4
DOIs	https://doi.org/10.4171/GGD/735
State	Published - 8 Sep 2023

Keywords

Free groups
graph of groups
permutation stability

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics
Geometry and Topology

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title = "Virtually free groups are stable in permutations",

abstract = "We prove that finitely generated virtually free groups are stable in permutations. As an application, we show that almost-periodic almost-automorphisms of labelled graphs are close to periodic automorphisms.",

keywords = "Free groups, graph of groups, permutation stability",

author = "Nir Lazarovich and Arie Levit",

note = "Publisher Copyright: {\textcopyright} 2023 European Mathematical Society.",

year = "2023",

month = sep,

day = "8",

doi = "https://doi.org/10.4171/GGD/735",

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AU - Levit, Arie

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AB - We prove that finitely generated virtually free groups are stable in permutations. As an application, we show that almost-periodic almost-automorphisms of labelled graphs are close to periodic automorphisms.

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M3 - مقالة

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EP - 1434

JO - Groups, Geometry, and Dynamics

JF - Groups, Geometry, and Dynamics

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ER -

Virtually free groups are stable in permutations

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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