Groups, Subgroups and Containment - Let H and K be subgroups of a group G such that one is not contained in the other. Prove that H U K is not a subgroup of G.
Prime subgroups - (a) Show that if |G|= pq, where p and q are prime, then G is not simple.
(b) Show that the only simple groups of order less than 36 are of prime
order.
I need a detailed proof of this to stu ...