Independence property and hyperbolic groups

Details Independence property and hyperbolic groups Independence property and hyperbolic groups

2007-06-20

arxiv.org/abs/0706.3021v3

Mathematics

Logic

v3: 10 pages (11pt), a few typos corrected, minor rearrangements (e.g. Fact 2.3 and Lemma 2.5); v2: 8 pages (10pt), a false st

Scientific paper

We prove that existentially closed $CSA$-groups have the independence
property. This is done by showing that there exist words having the
independence property relatively to the class of torsion-free hyperbolic
groups.

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