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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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Cayley graphs of finitely generated groups
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by Simon Thomas PDF
Proc. Amer. Math. Soc. 134 (2006), 289-294 Request permission

Abstract:

There does not exist a Borel choice of generators for each finitely generated group which has the property that isomorphic groups are assigned isomorphic Cayley graphs.
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): February 2, 2004
  • Received by editor(s) in revised form: September 2, 2004
  • Published electronically: June 14, 2005
  • Additional Notes: This research was partially supported by NSF Grants.
  • Communicated by: Carl G. Jockusch, Jr.
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 289-294
  • MSC (2000): Primary 03E15, 20F05
  • DOI: https://doi.org/10.1090/S0002-9939-05-07987-6
  • MathSciNet review: 2170570