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Abstract Algebra

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Decomposing U-Group 27

ABSALG-GNDJEA

Which of the following groups is isomorphic to $U(27)$?

A

$\mathbb{Z}_{27}$

B

$\mathbb{Z}_3\times\mathbb{Z}_{9}$

C

$\mathbb{Z}_{18}$

D

$\mathbb{Z}_3\times\mathbb{Z}_{6}$

E

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