What do chains of groups mean?

by zooby   Last Updated September 11, 2019 19:20 PM

Often I see things like this:

$$0\rightarrow G \rightarrow H \rightarrow \mathbb{Z}_2 \rightarrow 0$$

Which has something to do with Lie groups or groups in general. But I have never been able to work out exactly what they mean.

Is there some explanation of this and why exactly it is important?

I understand about groups, lie groups, simple groups and normal groups etc.

Tags : group-theory

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