Detecting free splittings in relatively hyperbolic groups
Authors:
François Dahmani and Daniel Groves
Journal:
Trans. Amer. Math. Soc. 360 (2008), 6303-6318
MSC (2000):
Primary 20F10; Secondary 20F65
DOI:
https://doi.org/10.1090/S0002-9947-08-04486-3
Published electronically:
July 21, 2008
MathSciNet review:
2434288
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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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Additional Information
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:
https://doi.org/10.1090/S0002-9947-08-04486-3
Received by editor(s):
October 31, 2006
Published electronically:
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.
Article copyright:
© Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
