This isn't exactly a homework problem I just want to clarify things for myself.(adsbygoogle = window.adsbygoogle || []).push({});

I am looking back at my algebra notes and I am seeing cosets and factor groups in a new way.

If N is a normal subgroup of G, then the set of left cosets of N forms a group under the coset multiplication given by

aNbN = abN

for all a,b G.

so it looks like we are taking any expression in G lets say a(b+c)+d^2... and taking out whatever is in N and just putting in N. this looks very much like moding out by n in number theory.

is this true? i don't really see a problem with it but I want to make sure there are no counter examples

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# Homework Help: Factor groups

Can you offer guidance or do you also need help?

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