The necessary and sufficient condition for homomorphisim f of a group G into a group G' with kernel K to be isomorphism of G into G' is that k={e}(adsbygoogle = window.adsbygoogle || []).push({});

.... THOUGH I AM ABLE TO PROVE THAT f IS ONE-ONE AND f IS HOMOMORPHISM (in converse part) BUT CAN'T GET ANY IDEA TO PROVE THAT f IS ONTO.

PLEASE HELP ME IN THIS REGARD

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# Nessary and sufficient condition for homomorphism to be isomorphism.

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