arXiv Analytics

Sign in

arXiv:0706.3021 [math.LO]AbstractReferencesReviewsResources

Independence property and hyperbolic groups

Eric Jaligot, Alexey Muranov, Azadeh Neman

Published 2007-06-20, updated 2007-11-23Version 3

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.

Comments: 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 statement in the proof of Fact 2.4 is replaced with a true one; v1: 8 pages
Categories: math.LO, math.GR
Subjects: 03C45, 20F06, 20F67
Related articles: Most relevant | Search more
arXiv:2309.00392 [math.LO] (Published 2023-09-01)
A decidable expansion of $(Γ,+,F)$ with the independence property
arXiv:math/0303345 [math.LO] (Published 2003-03-27)
Karp complexity and classes with the independence property
arXiv:1109.5438 [math.LO] (Published 2011-09-26)
Vapnik-Chervonenkis density in some theories without the independence property, I

Links

Toolbox