Question

prove that every finite abelian is the direct product of cyclic groups.​

Answer 1

Answer:

• Theorem 0.1 (Fundamental Theorem of Finite Abelian Groups). Every finite Abelian group is a direct product of cyclic groups of prime power order. Moreover, the number of terms in the product and the orders of the cyclic groups are uniquely determined by the group.

Step-by-step explanation:

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Answer 2

Answer:

Theorem 0.1 (Fundamental Theorem of Finite Abelian Groups). Every finite Abelian group is a direct product of cyclic groups of prime power order. Moreover, the number of terms in the product and the orders of the cyclic groups are uniquely determined by the group.