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math.GR2024★ 1 cited
Lamplighter-like geometry of groups
Anthony Genevois, Romain Tessera
In this article, we introduce halo products as a natural generalisation of wreath products. They also encompass lampshuffler groups and lampcloner grou…
math.GR2024
Coarse separation and large-scale geometry of wreath products
Oussama Bensaid, Anthony Genevois, Romain Tessera
In this article, we introduce and study a natural notion of coarse separation for metric spaces, with an emphasis on coarse separation by subspaces of polynomial or subexponential…