Let H be a subspace of G. Show that if H is also a subgroup of G, then both H and[tex]\bar{H}[/tex] are topological groups.(adsbygoogle = window.adsbygoogle || []).push({});

So, this is what i've got...

if H is a subgroup of G then H [tex]\subset[/tex] G.

Since H is a subspace of G then H is an open subset.

But, i don't even know if that's right.

How do i do this?

Thanks!

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# Topological group

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