On normal subgroups of compact groups
Journal of the European Mathematical Society, Tome 16 (2014) no. 3, pp. 597-618.

Voir la notice de l'article provenant de la source EMS Press

Among compact Hausdorff groups G whose maximal profinite quotient is finitely generated, we characterize those that possess a proper dense normal subgroup. We also prove that the abstract commutator subgroup [H,G] is closed for every closed normal subgroup H of G.
DOI : 10.4171/jems/441
Classification : 22-XX, 00-XX, 20-XX
Keywords: Compact groups, dense normal subgroups, closed normal subgroups, conjugacy width
@article{JEMS_2014_16_3_a4,
     author = {Nikolay Nikolov and Dan Segal},
     title = {On normal subgroups of compact groups},
     journal = {Journal of the European Mathematical Society},
     pages = {597--618},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2014},
     doi = {10.4171/jems/441},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/441/}
}
TY  - JOUR
AU  - Nikolay Nikolov
AU  - Dan Segal
TI  - On normal subgroups of compact groups
JO  - Journal of the European Mathematical Society
PY  - 2014
SP  - 597
EP  - 618
VL  - 16
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/441/
DO  - 10.4171/jems/441
ID  - JEMS_2014_16_3_a4
ER  - 
%0 Journal Article
%A Nikolay Nikolov
%A Dan Segal
%T On normal subgroups of compact groups
%J Journal of the European Mathematical Society
%D 2014
%P 597-618
%V 16
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/441/
%R 10.4171/jems/441
%F JEMS_2014_16_3_a4
Nikolay Nikolov; Dan Segal. On normal subgroups of compact groups. Journal of the European Mathematical Society, Tome 16 (2014) no. 3, pp. 597-618. doi : 10.4171/jems/441. http://geodesic.mathdoc.fr/articles/10.4171/jems/441/

Cité par Sources :