  In [arXiv:1605.02261] Ros\l{}anowski and Shelah asked whether every locally
compact non-discrete group has a null but non-meager subgroup, and conversely
whether it is consistent with $ZFC$ that in every locally compact group there
are no meager but non-null subgroups. The answer is affirmative for both
questions [arXiv:1605.02261], however, in this paper we provide a much simpler
proof for the special case of Abelian Polish groups.
