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On the number of universal sofic groups

Author(s): Simon Thomas
Journal: Proc. Amer. Math. Soc. 138 (2010), 2585-2590.
MSC (2010): Primary 03C20, 03E35, 20F69
Posted: February 26, 2010
MathSciNet review: 2607888
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Abstract: If fails, then there exist $2^{2^{\aleph_{0}}}$ universal sofic groups up to isomorphism.

References:

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Additional Information:

Simon Thomas
Affiliation: Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019
Email: sthomas@math.rutgers.edu

DOI: 10.1090/S0002-9939-10-10280-9
PII: S 0002-9939(10)10280-9
Keywords: Ultraproducts, expander graphs, sofic groups
Received by editor(s): August 15, 2009,
Received by editor(s) in revised form: November 6, 2009
Posted: February 26, 2010
Additional Notes: Research partially supported by NSF Grant DMS 0600940.
Communicated by: Julia Knight
Copyright of article: Copyright 2010, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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