Gao, Su (2000) Coding Subset Shift by Subgroup Conjugacy. Bulletin of the London Mathematical Society, 32 . pp. 653-657. ISSN 0024-6093. doi:10.1112/S0024609300007463. https://resolver.caltech.edu/CaltechAUTHORS:20111129-160227464
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Abstract
We present a Borel reduction from a subset shift equivalence relation of a countable group to a subgroup conjugacy relation of a free product. The technique gives a much shorter proof of an earlier result of Thomas and Velickovic.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2000 London Mathematical Society. Received 23 June 1999; revised 16 November 1999. I thank G. Hjorth, A. S. Kechris and S. Thomas for very helpful discussions on this subject, and the referee for suggestions to improve an earlier version of this paper. Finally, I should point out a very recent result of A. Andretta, R. Camerlo and G. Hjorth which states that if G is a countable group containing a nonabelian free subgroup, then Ec(G) is a universal countable Borel equivalence relation. | |||||||||
| Classification Code: | 1991 Mathematics Subject Classification: 04A15, 20A10 | |||||||||
| DOI: | 10.1112/S0024609300007463 | |||||||||
| Record Number: | CaltechAUTHORS:20111129-160227464 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20111129-160227464 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 28236 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 29 Feb 2012 00:02 | |||||||||
| Last Modified: | 09 Nov 2021 16:55 |
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