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

DOI:
https://doi.org/10.1090/S0002-9939-03-07008-4

Published electronically:
June 5, 2003

MathSciNet review:
2021248

Full-text PDF

Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9939-03-07008-4

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