Abstract
Introduction Principal results Preliminaries Some algebraic and set-theoretic properties of pseudocompact groups Three technical lemmas Pseudocompact group topologies on $\mathcal V$-free groups Pseudocompact topologies on torsion Abelian groups Pseudocompact connected group topologies on Abelian groups Pseudocompact topologizations versus compact ones Some diagrams and open questions Diagram 2 Diagram 3 Bibliography.
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