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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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Erratum to “A finitely presented group with unbounded dead-end depth”
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by Sean Cleary and Tim R. Riley PDF
Proc. Amer. Math. Soc. 136 (2008), 2641-2645 Request permission

Abstract:

In our earlier work we exhibited a finitely presented group $G$ that we claimed enjoyed a geometric property called unbounded dead-end depth. We described a model for understanding the word metric on $G$, which regrettably was incorrect. Here, we describe the corrected model and the revised proof that $G$ does indeed have this property.
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Additional Information
  • Sean Cleary
  • Affiliation: Department of Mathematics, The City College of New York, The City University of New York, 138th Street and Convent Avenue, New York, New York 10031
  • Email: cleary@sci.ccny.cuny.edu
  • Tim R. Riley
  • Affiliation: Department of Mathematics, 310 Malott Hall, Cornell University, Ithaca, New York 14853-4201
  • MR Author ID: 691109
  • Email: tim.riley@math.cornell.edu
  • Received by editor(s): April 10, 2007
  • Published electronically: March 13, 2008
  • Additional Notes: Support from PSC-CUNY grant #68059 is gratefully acknowledged by the first author.
    Support from NSF grant 0404767 is gratefully acknowledged by the second author.
  • Communicated by: Alexander N. Dranishnikov
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 2641-2645
  • MSC (2000): Primary 20F65
  • DOI: https://doi.org/10.1090/S0002-9939-08-09212-5
  • MathSciNet review: 2390538