I need a counterexample for this fact that:
If $G$ is supersolvable, so any quotient group of it, is not neccesarily supersolvable. A infinite one is prefered.
Thanks
I need a counterexample for this fact that:
If $G$ is supersolvable, so any quotient group of it, is not neccesarily supersolvable. A infinite one is prefered.
Thanks
This is a nice page about supersolvability:
http://groupprops.subwiki.org/wiki/Supersolvable_group
As stated on that page, this property is preserved by taking quotients.