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A survey on quasi-isometries of pairs: invariants and rigidity (2112.15046v1)
Published 30 Dec 2021 in math.GR, math.GT, and math.MG
Abstract: This survey studies pairs $(G,\mathcal{P})$ with $G$ a finitely generated group and $\mathcal{P}$ a (finite) collection of subgroups of $G$. We explore the notion of quasi-isometry of such pairs and the notion of a qi-characteristic collection of subgroups. Both notions are abstractions of phenomena that have appeared repeatedly in the work of several people within the quasi-isometric rigidity realm.
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