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Recognition of subgroups of direct products of hyperbolic groups
Author(s):
Martin
R.
Bridson;
Charles
F.
Miller III
Journal:
Proc. Amer. Math. Soc.
132
(2004),
59-65.
MSC (2000):
Primary 20F10, 20F67
Posted:
June 5, 2003
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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.
References:
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- 1.
- G. Baumslag, M. R. Bridson, C. F. Miller III and H. Short, Fibre products, non-positive curvature, and decision problems, Comment. Math. Helv. 75 (2000), 457-477. MR 2001k:20091
- 2.
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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:
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
Posted:
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 of article:
Copyright
2003,
American Mathematical Society
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