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Abstract Algebra

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Moderate

Decomposing the Group U(16)

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Which of the following groups is isomorphic to $U(16)$?

A

$\mathbb{Z}_{16}$

B

$\mathbb{Z}_8$

C

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

D

$\mathbb{Z}_2\times\mathbb{Z}_{4}$

E

$\mathbb{Z}_2\times\mathbb{Z}_{8}$