★ Key Takeaways
Every Subgroup of an Abelian Group Is Normal, So Each Subgroup Gives Rise to a Quotient Group. Subgroups, Quotients, and Direct Sums of Abelian Groups Are Again Abelian. the Finite Simple Abelian Groups Are Exactly the Cyclic Groups of Prime Order.
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Every Subgroup of an Abelian Group Is Normal, So Each Subgroup Gives Rise to a Quotient Group. Subgroups, Quotients, and Direct Sums of Abelian Groups Are Again Abelian. the Finite Simple Abelian Groups Are Exactly the Cyclic Groups of Prime Order.
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