User registration

User registration

That's a problem, that took few hours of my time and yet it's still not complete.
I have a hard time with user registration into the app. I have a login screen, with login/logout function and all the stuff. I have the "user administration" button that works only for admins. The problem is, that I'd like to have a "register" button and I can't find a proper way to do it.
It should work like that:
Click Register -> Fill in your name and mail -> System informs admin, that there's a new user in a system -> Admin gives permissions to the user -> You can login successfully.
What I've been looking for, was full form with variables, that are saved somewhere, then post to admin, and... that was stupid. What I want to do now, is the "new user" button, that creates a user (no permissions needed to click it), but the just-created user have permission on level 0. But the only way to add users I see now, is to get into User Registration, and that's not what I'd like users to view. Then the second problem is how to inform admin about new users? Is there even a way to display all users within a group in user administration window?
I guess, I need some direction where to go with these two topics. I'll appreciate any help. Thanks.

This is a migrated post! Originally posted on 13.12.2012 by user gandi. Please be aware that information can be outdated.