Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Pliska Studia Mathematica Bulgarica, Vol. 6, No 1, (1983), 75p-89p
The main result of this paper is that if X is an Abelian group, D is the maximal divisible subgroup of X, T is the periodic part of X and card X/(D+T)<c, then all minimal group topologies on X are precompact. Some other results are obtained for precompactness of minimal Abelian groups.