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Rational embeddings of hyperbolic groups

Authors :
Belk, J
Bleak, C
Matucci, F
Belk J.
Bleak C.
Matucci F.
Belk, J
Bleak, C
Matucci, F
Belk J.
Bleak C.
Matucci F.
Publication Year :
2021

Abstract

We prove that all Gromov hyperbolic groups embed into the asynchronous rational group defined by Grigorchuk, Nekrashevych and Sushchanskiǐ. The proof involves assigning a system of binary addresses to points in the Gromov boundary of a hyperbolic group G, and proving that elements of G act on these addresses by asynchronous transducers. These addresses derive from a certain self-similar tree of subsets of G, whose boundary is naturally homeomorphic to the horofunction boundary of G.

Details

Database :
OAIster
Notes :
STAMPA, English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1308942101
Document Type :
Electronic Resource