Proceedings of the American Mathematical Society

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



Cayley graphs of finitely generated groups

Author: Simon Thomas
Journal: Proc. Amer. Math. Soc. 134 (2006), 289-294
MSC (2000): Primary 03E15, 20F05
Published electronically: June 14, 2005
MathSciNet review: 2170570
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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.

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Simon Thomas
Affiliation: Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019

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.
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.