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arXiv · 2410.15945

Profinite rigidity of lamplighter groups

Guy Blachar
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Abstract

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.

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Guy Blachar. 2024-10-21. Profinite rigidity of lamplighter groups. https://arxiv.org/abs/2410.15945

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