EDIT: (2/6/10)
A beta version of Chrome was released for Linux. Although it is marked as beta, it works fine on my Ubuntu box. You can download it from Google:
http://www.google.com/chrome?platform=linux
EDIT: (5/31/09)
Since I answered this question, more new changes (actually Chromium) for Linux have appeared in Chrome: an alpha version has been released. This means that it is not fully operational.
If you're using Ubuntu, you're in luck: add the following lines to your /etc/apt/sources.list
deb http://ppa.launchpad.net/chromium-daily/ppa/ubuntu jaunty main deb-src http://ppa.launchpad.net/chromium-daily/ppa/ubuntu jaunty main
Then at the command prompt:
aptitude update aptitude install chromium-browser
Do not forget s / jaunty / yourUbuntuVersion / if necessary. Alternatively, you can use s / aptitude / apt-get / if you insist.
And .... Yes , it works. I am typing this in my newly installed Chromium browser right now!
The assembly is placed on the launchpad and gives me some security warnings during installation, which I quickly ignored. Here's the website: https://launchpad.net/~chromium-daily/+archive/ppa
Original answer:
Linux build instructions
Colin
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