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On the home pages of my groups, the Group Email Address list/block is at the bottom of the page, often "below the fold" and Message History. I suggest this list be moved up to be at the same area/panel as Group Information and Group Settings.
This would be also be helpful for new members who visit the home page to see all the group information in one place.
I note that on the Beta Group, all these group lists/blocks are below the Message History.