say K is normal in G hence we have a factor group G/K.(adsbygoogle = window.adsbygoogle || []).push({});

let g be an element of G where |g| = n.

so Kg^n = K since g^n = 1.

and using the properties of factor groups, we know Kg^n = (Kg)^n

hence (Kg)^n = K

So we know that the order of Kg divides n.

Is this correct thinking? Factor groups are trippin me out

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# Factor Groups: What am I thinking about wrongly here?

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