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Thread: iso2

  1. #1
    Junior Member mathemanyak's Avatar
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    iso2

    Show that 4Z/12Z isomorp to Z_3
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  2. #2
    Senior Member JaneBennet's Avatar
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    $\displaystyle f:4\mathbb{Z}/12\mathbb{Z}\to\mathbb{Z}_3$, $\displaystyle f\left(4n+12\mathbb{Z}\right)=[n]_3$ is an isomorphism.
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  3. #3
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    Quote Originally Posted by mathemanyak View Post
    Show that 4Z/12Z isomorp to Z_3
    Let $\displaystyle x\mapsto [x]_3$ now use fundamental homomorphism theorem.
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