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- W4300471825 abstract "We explore the relationship between limit spaces of contracting self-similar groups and self-similar structures. We give the condition on a contracting group such that its limit space admits a self-similar structure, and also the condition such that this self-similar structure is p.c.f. We then give the necessary and sufficient condition on a p.c.f. self-similar structure such that there exists a contracting group whose limit space has an isomorphic self-similar structure; in this case, we provide a construction that produces such a contracting group. Finally, we illustrate our results with several examples." @default.
- W4300471825 created "2022-10-03" @default.
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- W4300471825 date "2010-11-08" @default.
- W4300471825 modified "2023-10-14" @default.
- W4300471825 title "From Self-Similar Structures to Self-Similar Groups" @default.
- W4300471825 doi "https://doi.org/10.48550/arxiv.1011.1817" @default.
- W4300471825 hasPublicationYear "2010" @default.
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