JournalsrsmupVol. 144pp. 177–195

Free subgroups with torsion quotients and profinite subgroups with torus quotients

  • Wayne Lewis

    University of Hawai‘i, Honolulu, USA
  • Peter Loth

    Sacred Heart University, Fairfield, USA
  • Adolf Mader

    University of Hawai‘i at Mānoa, Honolulu, USA
Free subgroups with torsion quotients and profinite subgroups with torus quotients cover
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Abstract

Here “group” means abelian group. Compact connected groups contain δ\delta-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 δ\delta-subgroups of a protorus. Associated concepts are also considered.

Cite this article

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. 177–195

DOI 10.4171/RSMUP/64