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## Main Question or Discussion Point

So I have an elementary understanding of group theory and the goals of studying sets and operations on them but I noticed that along the way, my understanding of a quotient group is severely flawed.

I understand what a so called normal subgroup is, but could someone please give an in depth explanation of what a quotient group is and the corresponding homomorphism properties?

Thanks so much!!

I understand what a so called normal subgroup is, but could someone please give an in depth explanation of what a quotient group is and the corresponding homomorphism properties?

Thanks so much!!