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- W4302621159 abstract "We introduce a notion of shadowing property for actions of finitely generated groups and study its basic properties. We formulate and prove a shadowing lemma for actions of nilpotent groups. We construct an example of a faithful linear action of a solvable Baumslag-Solitar group and show that the shadowing property depends on quantitative characteristics of hyperbolicity. Finally we show that any linear action of a non-abelian free group does not have the shadowing property." @default.
- W4302621159 created "2022-10-07" @default.
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- W4302621159 date "2013-05-31" @default.
- W4302621159 modified "2023-10-18" @default.
- W4302621159 title "Shadowing for actions of some finitely generated groups" @default.
- W4302621159 doi "https://doi.org/10.48550/arxiv.1305.7394" @default.
- W4302621159 hasPublicationYear "2013" @default.
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