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math.GR2026
Analytic, geometric and measured aspects of lamplighter-like groups
Vincent Dumoncel
In this thesis, we study finitely generated groups close to wreath products, all defined as semi-direct products, from various perspectives. The first main result is a quasi-isomet…
math.GR2026
On quantitative orbit equivalence for lamplighter-like groups
Corentin Correia, Vincent Dumoncel
We focus on halo products, a class of groups introduced by Genevois and Tessera, and whose geometry mimics lamplighters. Famous examples are lampshufflers. Motivated by their work…