Decomposability of permutation groups (in Russian)

A topological group $G$ is called $\aleph$-decomposable if $G$ can be decomposed into $\aleph$ dense subsets. If in this definition $\aleph$ is equal to the disperse character of $G$, then $G$ is called maximally decomposable. A group $G$ is called absolutely decomposable if it can be decomposed into two subsets dense in every nondiscrete group topology on $G$. The problem of absolute (maximal) decomposability of permutation groups endowed with the pointwise convergence topology is investigated.