Group Owners and Admins have the ability to change the name of their group.
Here's how to change the name of your group:
1. While in the group, click on 'More Admin Tools.'
2. Click the 'General Settings' link
3. Beneath 'Group Name', click in the text box to delete and edit the group name.
4. Be sure to click the 'Save' button at the bottom of the page when you are done editing your group settings.