I don't really understand factor groups in group theory (abstract algebra). I was given two things to think about:
(1) Is every factor group of an abelian group abelian? Why or why not?
(2) Is every factor group of a nonabelian group nonabelian? Why or why not?
I'm thinking no to the second one. If a nonabelian group can have an abelian subgroup, etc. But I'm not sure. Is there something I'm missing about factor groups?
Any help/hints would be most welcoming. ^_^