(c) Prove that a subgroup of an abelian group is abelian
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- Let G be a group of order pq, where p and q are primes. Prove that any nontrivial subgroup of G is cyclic.4. Prove that the special linear group is a normal subgroup of the general linear group .27. a. Show that a cyclic group of order has a cyclic group of order as a homomorphic image. b. Show that a cyclic group of order has a cyclic group of order as a homomorphic image.