Fedora Core is what Red Hat has become. They've split off their products, where Red Hat is the enterprise name and Fedora Core is the free distrobution. It's good for a beginner linux, considering it has a lot of GUI tools for the people coming from Windows who are used to having everything in GUI. As you get more advanced in linux, you may find it lacking though.
Anyone serious about learning linux will install one distro and play with it a bit until they find something they don't like. Then they may try another distro. Personally, I've tried most of the major ones and have come to the conclusion that I like Gentoo the most since it gives me the most flexability. If I were you, I'd install Fedora, just to get my feet wet. Then, once you've had some time with it, you may want to try something a little more advanced, like Gentoo or Debian.