Assume that H and K are subgroups of a group G and that K is normal in G. Then HK is a subgroup of G, where HK = {hk | h e H, k e K} Thanks for any help
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Originally Posted by jzellt Assume that H and K are subgroups of a group G and that K is normal in G. Then HK is a subgroup of G, where HK = {hk | h e H, k e K} Thanks for any help First note that (easy to verify). Let , we seek to show that So . Now, we see that . Observe that and since , . Thus . Does this make sense?
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