iso2

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August 3rd 2008, 05:24 AM
mathemanyak

iso2

Show that 4Z/12Z isomorp to Z_3
August 3rd 2008, 07:51 AM
JaneBennet

$f:4\mathbb{Z}/12\mathbb{Z}\to\mathbb{Z}_3$ , $f\left(4n+12\mathbb{Z}\right)=[n]_3$ is an isomorphism.
August 3rd 2008, 11:10 AM
ThePerfectHacker

Quote:

Originally Posted by mathemanyak

Show that 4Z/12Z isomorp to Z_3

Let $x\mapsto [x]_3$ now use fundamental homomorphism theorem.

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