Profinite rigidity of lamplighter groups

Fuente: arXiv
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1. Verfasser: Blachar, Guy
Format: Preprint
Veröffentlicht: 2024
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author Blachar, Guy
author_facet Blachar, Guy
contents We show that the lamplighter groups $(\mathbb{Z}/p\mathbb{Z})^n\wr\mathbb{Z}$, where $p$ is prime and $n\ge 1$ is a positive integer, are profinitely rigid.
format Preprint
id arxiv_https___arxiv_org_abs_2410_15945
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Profinite rigidity of lamplighter groups
Blachar, Guy
Group Theory
Rings and Algebras
20E18, 20E22, 13C05
We show that the lamplighter groups $(\mathbb{Z}/p\mathbb{Z})^n\wr\mathbb{Z}$, where $p$ is prime and $n\ge 1$ is a positive integer, are profinitely rigid.
title Profinite rigidity of lamplighter groups
topic Group Theory
Rings and Algebras
20E18, 20E22, 13C05
url https://arxiv.org/abs/2410.15945