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Let G be a group and K ? G be a normal subgroup. Let H...

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Advance Math

Let G be a group and K ? G be a normal subgroup. Let H ? G be asubgroup of G such that K ? H Suppose that H is also a normalsubgroup of G. (a) Show that H/K ? G/K is a normal subgroup. (b)Show that G/H is isomorphic to (G/K)/(H/K).

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