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math.GR2025
Isoperimetric profiles of lamplighter-like groups
Corentin Correia, Vincent Dumoncel
Given a finitely generated amenable group satisfying some mild assumptions, we relate isoperimetric profiles of the lampshuffler group $\mathsf{Shuffler}(H)=\mathsf{FSym}(H)\rt…
math.GR2025
Quasi-isometric rigidity for lamplighters with lamps of polynomial growth
Vincent Dumoncel
A quasi-isometry between two connected graphs is measure-scaling if one can control precisely the sizes of pre-images of finite subsets. Such a notion is motivated by the work of E…