A Linux computer can connect to a Windows network through Samba, which can be easily in installed in Fedora and other distributions. You will need to enter the workgroup that the Windows network uses in order to connect to it. This information can be entered in the smb.conf file found at /etc/samba.
You can edit the file with the following command:
Scroll down until you find workgroup (see below) and change the name to match your Windows workgroup setting.