I'm trying to find out if any version or plug-in of Linux can act as a user and password server. If it can, which version or plug-in of Linux can? And how do I fix it up.

I'd like to have about ten computers with Linux installed on them as clients, and one as a server. As one person goes from one computer to another, if she decides to change her password on one computer, it would also change on all the others because the password is actually on the server.

Can Linux do this?