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Here “group” means abelian group. Compact connected groups contain -subgroups, that is, compact totally disconnected subgroups with torus quotients, which are essential ingredients in the important Resolution Theorem, a description of compact groups. Dually, full free subgroups of discrete torsion-free groups of finite rank are studied in order to obtain a comprehensive picture of the abundance of -subgroups of a protorus. Associated concepts are also considered.
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Wayne Lewis, Peter Loth, Adolf Mader, Free subgroups with torsion quotients and profinite subgroups with torus quotients. Rend. Sem. Mat. Univ. Padova 144 (2020), pp. 177–195DOI 10.4171/RSMUP/64