%0 Journal Article %T Independence property and hyperbolic groups %+ Institut Camille Jordan (ICJ) %A Jaligot, Eric %A Muranov, Alexey %A Neman, Azadeh %Z 11 pages %< avec comité de lecture %J The Bulletin of Symbolic Logic %V 14 %N 1 %P 88--98 %8 2007 %D 2007 %Z 0706.3021 %R 10.2178/bsl/1208358845 %Z AMSC : 03C45, 20F06, 20F67 %Z Mathematics [math]/Logic [math.LO] %Z Mathematics [math]/Group Theory [math.GR]Journal articles %X 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. %G English %L hal-00636491 %U https://hal.science/hal-00636491 %~ UNIV-ST-ETIENNE %~ CNRS %~ ICJ %~ UNIV-LYON1 %~ INSA-LYON %~ EC-LYON %~ INSA-GROUPE %~ UDL %~ UNIV-LYON