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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

Charles F. Miller III
Affiliation: Department of Mathematics and Statistics, University of Melbourne, Parkville 3052, Australia

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