Chromium is the open source project behind Google Chrome.

Ubuntu Edit

Launchpad edition Edit

You can install it from the Ubuntu Launchpad with the following commands:

sudo add-apt-repository ppa:chromium-daily
sudo apt-get update && sudo apt-get upgrade
sudo apt-get install chromium-browser msttcorefonts

Then you can run it with the chromium-browser command.

Codeweavers edition Edit

Codeweavers has a deb package, which seems to be a wine port. There's also a 64-bit version