I tried : yum install ati-fglrx kernel-module-fglrx-`(uname -r)` from the faq, but I got this message:
Transaction Check Error: file /usr/X11R6/bin/fgl_glxgears from install of ati-fglrx-8.10.19.1-0.lvn.1.3 conflicts with file from package fglrx_4_1_0-8.12.10-1 file /usr/X11R6/bin/fglrx_xgamma from install of ati-fglrx-8.10.19.1-0.lvn.1.3 conflicts with file from package fglrx_4_1_0-8.12.10-1
file /usr/X11R6/bin/fglrxconfig from install of ati-fglrx-8.10.19.1-0.lvn.1.3 conflicts with file from package fglrx_4_1_0-8.12.10-1
file /usr/X11R6/bin/fglrxinfo from install of ati-fglrx-8.10.19.1-0.lvn.1.3 conflicts with file from package fglrx_4_1_0-8.12.10-1
file /usr/X11R6/lib/libfglrx_gamma.a from install of ati-fglrx-8.10.19.1-0.lvn.1.3 conflicts with file from package fglrx_4_1_0-8.12.10-1
file /usr/X11R6/lib/modules/dri/fglrx_dri.so from install of ati-fglrx-8.10.19.1-0.lvn.1.3 conflicts with file from package fglrx_4_1_0-8.12.10-1
file /usr/X11R6/lib/modules/drivers/fglrx_drv.o from install of ati-fglrx-8.10.19.1-0.lvn.1.3 conflicts with file from package fglrx_4_1_0-8.12.10-1
file /usr/X11R6/lib/modules/linux/libfglrxdrm.a from install of ati-fglrx-8.10.19.1-0.lvn.1.3 conflicts with file from package fglrx_4_1_0-8.12.10-1