Happens to me too on both Skp 8 and 7. Both Mac and PC.
Even if I draw a simple box and try to slice it with either Zorro or Slice Model (from the section cut dialogue) ... instant crash.
(it`s not a "insufficient hardware" issue), the weird thing is that (on Skp 7) it actually worked one time and then it started crashing. I finally tried with a simple cube (non-group) and realized that the problem is with Sketchup, and not the file.
I`m still looking forward to a solution.