A topological group is strongly realcompact if it is topologically isomorphic to a closed subgroup of a product of separable metrizable groups. We show that if H is an invariant Čech-complete subgroup of an ω-narrow topological group G, then G is strongly realcompact if and only if G/H is strongly realcompact. Our proof of this result is based on a thorough study of the interaction between the ...

This paper gives a complete classification of the finite groups that contain a strongly closed p-subgroup for p any prime.

This paper gives a complete classification of the finite groups that contain a strongly closed p-subgroup for p any prime.