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- W2146937148 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.
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- W2146937148 date "2014-04-04" @default.
- W2146937148 modified "2023-10-18" @default.
- W2146937148 title "Shadowing for actions of some finitely generated groups" @default.
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- W2146937148 doi "https://doi.org/10.1080/14689367.2014.902037" @default.
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