I had already attempted what you suggest. Here is the usergroup I'd like to join (under control panel/Usergroups:
"Plugin contributors
This is a group of members who are generously and often freely contribute with different plugins, update them regularly and provide ongoing support for the whole SketchUp community.
This is a closed group, new members can only join upon invitation of a group leader."
The problem is I am unable to select this group by clicking the button to the right of the group name/description. The button looks no different after I click it as before, and there is no visual clue that it has been clicked. If I click the button for an open group, a little dot appears on the button and I can proceed. I naturally assumed this is the button being referred to in the FAQ ("...If a group requires approval to join you may request to join by clicking the appropriate button.") Same problem with all closed groups.
Should it matter, I just joined sketchUcation yesterday and have the free membership.
C'mon, why is my question so tough? Many of you out there must know to do something so simple as making a request to join a private group.
Cary