Hi.....i'm stuck on the following question;
Show that no infinite soluble group has a composition series.
The hint for the question was to try by contradiction.
So i tried the following;
Suppose G is an infinite soluble group with a composition series.
G is soluble so all composition factors are cyclic and of prime order.
I think there will be a contradiction because G is infinite...but i just don't know
Thanks for your help