Thank you for your response.

Not og/my.  It's the group home page you created when you add a new group as a Content Type.  In other words, there is only one node to that group, which content type is OG, and this node becomes the home page where all the private node will be added there by "Promote to Front".  og/my only shows the title in a table view, and it doesn't look good as the home page to the group.  I understand it is this way since one might belong to multiple groups in a usual Drupal use, but for my needs one only can join one group.  This is why I want to show the group home page contents when one logged in.

Sorry English is not my forte :-)