Mike from 'The Linux and Unix Menagerie' blog provides the following:
(included inline if Mike every decides to delete it - this is his original post)
Show package info: apt-cache show PKG - yum info PKG
Install package: apt-get install PKG - yum install PKG
Remove package: apt-get remove PKG - yum remove PKG
List the package that owns a particular FILE: Can't be done to my knowledge - yum provides PKG
List all files in an already installed package: Can't be done to my knowledge - Can't be done to my knowledge
List all files in an uninstalled package FILE: Can't be done to my knowledge - Can't be done to my knowledge
List all packages installed on your system: Can't be done to my knowledge - yum list installed
Check that all files from a package are installed correctly: Can't be done to my knowledge - Can't be done to my knowledge
Check that all files from all packages are installed correctly: Can't be done to my knowledge - Can't be done to my knowledge
Check that a package FILE is OK before installing: Can't be done to my knowledge - Can't be done to my knowledge
Fix an altered package installation: Can't be done to my knowledge - Can't be done to my knowledge