Elementary embeddings in torsion-free hyperbolic groups

Details Elementary embeddings in torsion-free hyperbolic groups Elementary embeddings in torsion-free hyperbolic groups

2009-03-05

arxiv.org/abs/0903.0945v2

Mathematics

Group Theory

The purpose of this revision is to offer a simplified and (hopefully) clarified version of the paper. Mainly, the proofs of Pr

Scientific paper

We consider embeddings in a torsion-free hyperbolic group which are
elementary in the sense of first-order logic. We give a description of these
embeddings in terms of Sela's hyperbolic towers. We deduce as a corollary that
subgroups elementarily embedded in finitely generated free groups are free
factors.

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