Free subgroups with torsion quotients and profinite subgroups with torus quotients
Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 177-195.
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Here “group” means abelian group. Compact connected groups contain δ-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-subgroups of a protorus. Associated concepts are also considered.

Publié le :
DOI : 10.4171/rsmup/64
Classification : 22, 20 
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     author = {Wayne Lewis and Peter Loth and Adolf Mader},
     title = {Free subgroups with torsion quotients and profinite subgroups with torus quotients},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {177--195},
     volume = {144},
     year = {2020},
     doi = {10.4171/rsmup/64},
     mrnumber = {4186454},
     zbl = {1504.22005},
     language = {en},
     url = {http://archive.numdam.org/articles/10.4171/rsmup/64/}
}
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Wayne Lewis; Peter Loth; Adolf Mader. Free subgroups with torsion quotients and profinite subgroups with torus quotients. Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 177-195. doi : 10.4171/rsmup/64. http://archive.numdam.org/articles/10.4171/rsmup/64/

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