| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ St Andrews, Sch Math & Stat, St Andrews KY16 9SS, Fife - Scotland
[2] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, I-20125 Milan - Italy
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | JOURNAL OF COMBINATORIAL ALGEBRA; v. 5, n. 2, p. 123-183, 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We prove that all Gromov hyperbolic groups embed into the asynchronous rational group defined by Grigorchuk, Nekrashevych and Sushchanski.i. 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. (AU) | |
| FAPESP's process: | 16/12196-5 - Algorithm and classification in groups |
| Grantee: | Francesco Matucci |
| Support Opportunities: | Research Grants - Young Investigators Grants |