Like keyboard how can I map my mouse in Gnome 3

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Not sure if this is what you want, but xmodmap can do anything - including mouse buttons. Yum install xmodmap and then man xmodmap. You only need to create .xmodmap file. It's not Gnome3 solution, but it works with Gnome3.

Works for me with my ThinkPad keys, you can do the same for mouse buttons. It can also run commands instead of simple remapping. Tested, works. Good luck.