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 = {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://www.numdam.org/articles/10.4171/rsmup/64/}
}
TY  - JOUR
AU  - Wayne Lewis
AU  - Peter Loth
AU  - Adolf Mader
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  - http://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 Wayne Lewis
%A Peter Loth
%A Adolf Mader
%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 http://www.numdam.org/articles/10.4171/rsmup/64/
%R 10.4171/rsmup/64
%G en
%F RSMUP_2020__144__177_0
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://www.numdam.org/articles/10.4171/rsmup/64/

Cité par Sources :