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Abstract Algebra

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Embeddings of $\mathbb{Z}/9\mathbb{Z}$

ABSALG-ODOZ2X

Up to isomorphism, how many abelian groups of order 81 can $\mathbb{Z}/9\mathbb{Z}$ be embedded in?

A

$1$

B

$2$

C

$3$

D

$4$

E

$5$