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Prove that if a subgroup N in G is normal then N is a disjoint...

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Prove that if a subgroup N in G is normal then N is a disjoint union of conjugacy classes in G. Use this to find all normal subgroups in S4.

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Prove that if a subgroup N in G is normal then N is a disjoint union of conjugacy classes in G. Use this to find all normal subgroups in S4.

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