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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Detecting free splittings in relatively hyperbolic groups
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by François Dahmani and Daniel Groves PDF
Trans. Amer. Math. Soc. 360 (2008), 6303-6318 Request permission


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
  • MR Author ID: 714038
  • Email:
  • 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
  • MR Author ID: 642547
  • Email:,
  • 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.
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 360 (2008), 6303-6318
  • MSC (2000): Primary 20F10; Secondary 20F65
  • DOI:
  • MathSciNet review: 2434288