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.
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!
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!