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Can you show an example of subgroups? and how to solve them I don't understand closure...

Can you show an example of subgroups? and how to solve them
I don't understand closure
If a,b, is an element in H then ab element in H (does ab mean multiple)

I don't understand inverse
ab^-1 element in H. (if we have ab would the inverse be a^-1b^-1)

Some example are much need something visual

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