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Abstract Algebra

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Moderate

Decomposing a Cyclic Group

ABSALG-7JLLYL

Which of the following groups is isomorphic to $\mathbb{Z}_{12}$?

A

$\mathbb{Z}_3\times \mathbb{Z}_4$

B

$\mathbb{Z}_3\times D_3$

C

$\mathbb{Z}_2\times \mathbb{Z}_6$

D

$\mathbb{Z}_2\times \mathbb{Z}_2\times \mathbb{Z}_3$