Show that if $G$ is a locally compact topological group and $H$ is a subgroup, then $G/H$ is locally compact.
This seems pretty straight forward but how will I be able to prove this? I saw this property from Wikipedia that, Every closed subgroup of a locally compact group is locally compact. But if $G/H$ closed? I haven't had any lectures on subgroups and its properties yet, any help will be greatly appreciated. Thanks in advance!