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Abstract Algebra

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Existence of Onto Group Homomorphisms

ABSALG-YGDRW8

How many group homomorphisms are there from $\mathbb{Z}_8\times \mathbb{Z}_2 \to \mathbb{Z}_4\times \mathbb{Z}_4$?

A

$1$

B

$16^{16}$

C

$0$

D

Infinitely many.