I have a problem that I have been stuck on for two hours. I would like to check if I have made any progress or I am just going in circles.
**Problem: Let be group homomorphisms. Which is larger, ?**
**My work:**
divides $|G|$ and $|H|$
divides $|G|$ and $|K|$
With similar analysis, I get .
This seems like too much work with zero output.