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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the number of universal sofic groups
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by Simon Thomas PDF
Proc. Amer. Math. Soc. 138 (2010), 2585-2590 Request permission

Abstract:

If $CH$ 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
  • MR Author ID: 195740
  • Email: sthomas@math.rutgers.edu
  • Received by editor(s): August 15, 2009
  • Received by editor(s) in revised form: November 6, 2009
  • Published electronically: February 26, 2010
  • Additional Notes: Research partially supported by NSF Grant DMS 0600940.
  • Communicated by: Julia Knight
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 138 (2010), 2585-2590
  • MSC (2010): Primary 03C20, 03E35, 20F69
  • DOI: https://doi.org/10.1090/S0002-9939-10-10280-9
  • MathSciNet review: 2607888