Why normal subgroups are very important in group theory? what's so good about them? I know that normality plays an important role in defining a simple operation on co-sets of a group and it also plays an important role in defining the quotient group, but what I'm curious to know is the history behind normality and the applications of normal subgroups and its consequences in modern Algebra.(adsbygoogle = window.adsbygoogle || []).push({});

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# Why normality is important?

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