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Algebra and Discrete Mathematics, 2003, Issue 4, Pages 21–32
(Mi adm390)
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This article is cited in 11 scientific papers (total in 11 papers)
RESEARCH ARTICLE
Post-critically finite self-similar groups
E. Bondarenko, V. Nekrashevycha a Kyiv Taras Shevchenko University
Mechanics and Mathematics Faculty
Algebra Department
Volodymyrska, 60,
Kyiv, Ukraine, 01033
Abstract:
We describe in terms of automata theory the automatic actions with post-critically finite limit space. We prove that these actions are precisely the actions by bounded automata and that any self-similar action by bounded automata is contracting.
Citation:
E. Bondarenko, V. Nekrashevych, “Post-critically finite self-similar groups”, Algebra Discrete Math., 2003, no. 4, 21–32
Linking options:
https://www.mathnet.ru/eng/adm390 https://www.mathnet.ru/eng/adm/y2003/i4/p21
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Statistics & downloads: |
Abstract page: | 242 | Full-text PDF : | 80 | First page: | 1 |
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