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Erratum: “Elementary embeddings in torsion-free hyperbolic groups”. (English) Zbl 1284.20046
From the text: Unfortunately, we realised that Proposition 5.11 of the author’s paper mentioned in the title [ibid. 44, No. 4, 631-681 (2011; Zbl 1245.20052)] fails to hold in a few exceptional low complexity cases. The natural modification to overcome this mistake is to proceed to a slight generalization of the notion of hyperbolic floors and hyperbolic towers, which we present in Section 1. – As we will see in Section 2, however, this does not affect Theorem 1.2, the main result of the paper. Moreover, Theorem 1.2 is the only result which directly uses Proposition 5.11 in its proof.

MSC:
20F67 Hyperbolic groups and nonpositively curved groups
20A15 Applications of logic to group theory
03C60 Model-theoretic algebra
20E05 Free nonabelian groups
03C07 Basic properties of first-order languages and structures
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