I'm curious why people develop these objects. Although I've seen some proofs of theorems using coset(or quotient space somtimes), it remains mysterious to me how people come up with these in the first palce. So what's the motivation for inventing coset or quotient space, logical and historical?(adsbygoogle = window.adsbygoogle || []).push({});

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# What's the motivation for coset and quotient structure?

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