Chromium web browser
Chromium is the upstream project that Google Chrome browser is based on. Fedora does not include Chromium web browser in the official repository due to problems outlined in
http://ostatic.com/blog/making-projects-easier-to-package-why-chromium-isnt-in-fedora
Tom 'spot' Callaway is working with Google to fix the problems in Chromium so that it can be made available in the official repository.
Copr repository
Copr is the place for unofficial community packages and Chromium is available in Copr. To use this repo, download the appropriate repo file from from http://copr.fedoraproject.org/coprs/churchyard/chromium-russianfedora-tested/ and drop it in /etc/yum.repos.d as root user
sudo yum install chromium -y
NOTE: Please contact the maintainer listed in the above web page for any issues with Chromium. Fedora Project is NOT responsible for any issues.
Google Chrome
Since Chromium is upstream for Google Chrome, all the same issues apply. In addition to that, Fedora does not include Google Chrome because it is a proprietary product and bundles other proprietary software such as Adobe Flash plugin. However, Google does maintain a yum repository for Fedora at
The link above also includes downloadable RPMs that you may use to install Chrome.