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Enumerating limit groups
We prove that the set of limit groups is recursively enumerable, answering a question of Delzant. One ingredient of the proof is the observation that a finitely presented group with local retractions (à la Long and Reid) is coherent and, furthermore, there exists an algorithm that computes presentations for finitely generated subgroups. The other main ingredient is the ability to algorithmicall...
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ژورنال
عنوان ژورنال: Groups, Geometry, and Dynamics
سال: 2009
ISSN: 1661-7207
DOI: 10.4171/ggd/63