GNU Mailman: Does it need to be connected to a qualified domain name?

I'm using Gentoo Linux.
I've downloaded, installed, and done some initial configuration as required by the mailman README.gentoo.gz document.

I've definitely got mailman running and it has sent the following notification to my personal email address --

_______________________________
You can configure your mailing list at the following web page:

   http://charlie.net/mailman/admin/mailman

The web page for users of your mailing list is:

   http://charlie.net/mailman/listinfo/mailman

You can even customize these web pages from the list configuration
page.  However, you do need to know HTML to be able to do this.

There is also an email-based interface for users (not administrators)
of your list; you can get info about using it by sending a message
with just the word `help' as subject or in the body, to:

   mailman-request@charlie.net

To unsubscribe a user: from the mailing list 'listinfo' web page,
click on or enter the user's email address as if you were that user.
Where that user would put in their password to unsubscribe, put in
your admin password.  You can also use your password to change
member's options, including digestification, delivery disabling, etc.

Please address all questions to mailman-owner@charlie.net.
____________________________________

The problem is that "charlie.net" is not a qualified domain.
Charlie.net is simply the hostname that I have given to my home linux computer, but it's not registered.
When I try to configure the mailing list, I can't reach the site mentioned above because it's not a real domain.
How do I make mailman point to, or work with, a qualified domain that I own/operate/host on my home linux computer.

Thanks for your help and assistance.