Detecting free splittings in relatively hyperbolic groups

Mathematics – Group Theory

Scientific paper

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15 pages. Version 2 is 17 pages, edited in light of referee's comments. To appear in Transactions of the AMS

Scientific paper

10.1090/S0002-9947-08-04486-3

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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