Can Groups have Groups

Hi All

First of all I'd like to thank the elgg owners/developers & community - looks like a great solution for so many requirements......

I am new to elgg, just installed on a shared server and now learning/testing etc with a few friends as beta testers.

My first question is:- Can a group own groups? - so a group called "Project Management" can have a Group called Project 1, Project 2 etc. I think this would help control access to this section of our proposed site.

If the answer is yes;

Is there a (simple / no coding) way for a Group to create a create today?

If (today)  this is not possible or simple (but the curent dat model supports this) then can anyone say how much work is requierd to achieve this?