Hyperbolic spaces from self-similar group actions

• Published in: Algebra and Discrete Mathematics
• Date: 2003
• Main Author: Nekrashevych, V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154679
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Hyperbolic spaces from self-similar group actions / V. Nekrashevych // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 1. — С. 77–86. — Бібліогр.: 14 назв. — англ.

We show that the limit space of a contracting selfsimilar group action is the boundary of a naturally defined Gromov hyperbolic space.