Show that 4Z/12Z isomorp to Z_3

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- Aug 3rd 2008, 05:24 AMmathemanyakiso2
Show that 4Z/12Z isomorp to Z_3

- Aug 3rd 2008, 07:51 AMJaneBennet
$\displaystyle f:4\mathbb{Z}/12\mathbb{Z}\to\mathbb{Z}_3$, $\displaystyle f\left(4n+12\mathbb{Z}\right)=[n]_3$ is an isomorphism.

- Aug 3rd 2008, 11:10 AMThePerfectHacker