Android (e.g. Samsung, HTC, Sony): To rename a group, go to the group and open the menu (top left corner). Then tap on the cog next to the group name.This opens a menu to edit the group. Tap the pencil next to the group name to edit it.
iOS (iPhone): To rename a group, go to the group and open the menu (top left corner). Then tap on the cog wheel for group settings.This opens a menu to edit the group. Tap the group name to edit it.