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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Recognition of subgroups of direct products of hyperbolic groups


Authors: Martin R. Bridson and Charles F. Miller III
Journal: Proc. Amer. Math. Soc. 132 (2004), 59-65
MSC (2000): Primary 20F10, 20F67
Published electronically: June 5, 2003
MathSciNet review: 2021248
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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.


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Additional Information

Martin R. Bridson
Affiliation: Department of Mathematics, 180 Queen’s Gate, London SW7 2BZ, United Kingdom
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

DOI: http://dx.doi.org/10.1090/S0002-9939-03-07008-4
PII: S 0002-9939(03)07008-4
Keywords: Hyperbolic groups, finitely presented subgroups, isomorphism problem
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
Article copyright: © Copyright 2003 American Mathematical Society