Let G be a group and let H and K be subgroups of G. Define H

Let G be a group and let H and K be subgroups of G. Define HK to be the subset of G consisting of al… Show more Let G be a group and let H and K be subgroups of G. Define HK to be the subset of G consisting of all products of the form hk where h∈H and k∈K. That is, HK={hk∣h∈H,k∈K}. A) Let N be a normal subgroup of G, and M be a normal subgroup of G. Prove that NM⊴G. • Show less