Transactions of the American Mathematical Society

Author(s): François Dahmani; Daniel Groves
Journal: Trans. Amer. Math. Soc. 360 (2008), 6303-6318.
MSC (2000): Primary 20F10; Secondary 20F65
Posted: July 21, 2008
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Abstract: We describe an algorithm which determines whether or not a group which is hyperbolic relative to abelian groups admits a nontrivial splitting over a finite group.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 20F10, 20F65

François Dahmani
Affiliation: Laboratoire E. Picard, Université Paul Sabatier, F-31062 Toulouse, France
Email: dahmani@picard.ups-tlse.fr

Daniel Groves
Affiliation: Department of Mathematics, California Institute of Technology, Pasadena, California 91125
Address at time of publication: Department of Mathematics and Computer Science, University of Illinois at Chicago, Chicago, Illinois 60607-7045
Email: groves@caltech.edu, groves@math.uic.edu

DOI: 10.1090/S0002-9947-08-04486-3
PII: S 0002-9947(08)04486-3
Received by editor(s): October 31, 2006
Posted: July 21, 2008
Additional Notes: The first author acknowledges support from the ANR grant 06-JCJC-0099-01
The second author’s work was supported in part by NSF Grant DMS-0504251.
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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