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Title:
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Tree automorphisms and quasi-isometries of Thompson's group F
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Author:
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Cleary, Sean; Taback, Jennifer
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Other authors:
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Centre de Recerca Matemàtica |
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Resum:
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We prove that automorphisms of the infinite binary rooted tree T2 do not yield quasi-isometries of Thompson's group F, except for the map which reverses orientation on the unit interval, a natural outer automorphism of F. This map, together with the identity map, forms a subgroup of Aut(T2) consisting of 2-adic automorphisms, following standard terminology used in the study of branch groups. However, for more general p, we show that the analgous groups of p-adic tree automorphisms do not give rise to quasiisometries of F(p). |
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Publication date:
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2008-04 |
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Subject (UDC):
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512 - Àlgebra |
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Subject(s):
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Automorfismes
Grups, Teoria de |
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Rights:
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Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
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Document type:
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Preprint |
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Published by:
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Centre de Recerca Matemàtica
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Collection:
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Prepublicacions del Centre de Recerca Matemàtica;803
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