Self-similar groups and finite Gelfand pairs
We study the Basilica group B, the iterated monodromy group I of the complex polynomial z 2 + i and the Hanoi Towers group H(3). The first two groups act on the binary rooted tree, the third one on the ternary rooted tree. We prove that the action of B, I and H(3) on each level is 2-points homog...
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Datum: | 2007 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2007
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Schriftenreihe: | Algebra and Discrete Mathematics |
Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/157371 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Zitieren: | Self-similar groups and finite Gelfand pairs / D. D’Angeli, A. Donno // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 54–69. — Бібліогр.: 14 назв. — англ. |