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
Le texte intégral des articles récents est réservé aux abonnés de la revue. Consultez l'article sur le site de la revue.

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 
@article{RSMUP_2020__144__177_0,
     author = {Lewis, Wayne and Loth, Peter and Mader, Adolf},
     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},
     year = {2020},
     volume = {144},
     doi = {10.4171/rsmup/64},
     mrnumber = {4186454},
     zbl = {1504.22005},
     language = {en},
     url = {https://www.numdam.org/articles/10.4171/rsmup/64/}
}
TY  - JOUR
AU  - Lewis, Wayne
AU  - Loth, Peter
AU  - Mader, Adolf
TI  - Free subgroups with torsion quotients and profinite subgroups with torus quotients
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2020
SP  - 177
EP  - 195
VL  - 144
UR  - https://www.numdam.org/articles/10.4171/rsmup/64/
DO  - 10.4171/rsmup/64
LA  - en
ID  - RSMUP_2020__144__177_0
ER  - 
%0 Journal Article
%A Lewis, Wayne
%A Loth, Peter
%A Mader, Adolf
%T Free subgroups with torsion quotients and profinite subgroups with torus quotients
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2020
%P 177-195
%V 144
%U https://www.numdam.org/articles/10.4171/rsmup/64/
%R 10.4171/rsmup/64
%G en
%F RSMUP_2020__144__177_0
Lewis, Wayne; Loth, Peter; Mader, Adolf. 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

Cité par Sources :