There are three ways to edit to which groups a person is assigned.
Option 1: Groups Page
Step 1: Visit the groups page and select the group in question.
Step 2: You can delete a specific record or you can choose multiple records to delete using the check boxes.
Option 2: Contacts Page
Step 1: Visit the contacts page, locate the contact in question, then click on the edit icon (pencil).
Step 2: In the popup that appears, first select and then delete the group that is assigned to that contact. Save.
Option 3: From the Inbox
Locate the groups section in the RHS. Delete the group, then save.