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Coding Subset Shift by Subgroup Conjugacy

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.

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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.

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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
Record Number:CaltechAUTHORS:20111129-160227464
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:28236
Deposited By: Tony Diaz
Deposited On:29 Feb 2012 00:02
Last Modified:09 Nov 2021 16:55

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