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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Recognition of subgroups of direct products of hyperbolic groups
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by Martin R. Bridson and Charles F. Miller III
Proc. Amer. Math. Soc. 132 (2004), 59-65
DOI: https://doi.org/10.1090/S0002-9939-03-07008-4
Published electronically: June 5, 2003

Abstract:

We give examples of direct products of three hyperbolic groups in which there cannot exist an algorithm to decide which finitely presented subgroups are isomorphic.
References
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Bibliographic Information
  • Martin R. Bridson
  • Affiliation: Department of Mathematics, 180 Queen’s Gate, London SW7 2BZ, United Kingdom
  • MR Author ID: 324657
  • Email: m.bridson@ic.ac.uk
  • Charles F. Miller III
  • Affiliation: Department of Mathematics and Statistics, University of Melbourne, Parkville 3052, Australia
  • Email: c.miller@ms.unimelb.edu.au
  • Received by editor(s): January 31, 2002
  • Received by editor(s) in revised form: September 9, 2002
  • Published electronically: June 5, 2003
  • Additional Notes: The first author’s research was funded by an Advanced Fellowship from the EPSRC
  • Communicated by: Stephen D. Smith
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 59-65
  • MSC (2000): Primary 20F10, 20F67
  • DOI: https://doi.org/10.1090/S0002-9939-03-07008-4
  • MathSciNet review: 2021248