Box resolvability

We say that a topological group G is partially box κ-resolvable if there exist a dense subset B of G and a subset A of G  , |A|=κ|A|=κ such that the subsets {aB:a∈A}{aB:a∈A} are pairwise disjoint. If G=ABG=AB then G is called box κ-resolvable. We prove two theorems. If a topological group G contains an injective convergent sequence then G is box ω-resolvable. Every infinite totally bounded topological group G is partially box n-resolvable for each natural number n, and G is box κ  -resolvable for each infinite cardinal κ,κ<|G|κ,κ<|G|.