Geodesic
The Bohr Topology of Discrete Nonabelian Groups
Journal of Lie theory, Tome 18 (2008) no. 3, pp. 733-746.

Voir la notice de l'article provenant de la source Heldermann Verlag

We look at finitely generated Bohr groups G#, i.e., groups G equipped with the topology inherited from their Bohr compactification bG. Among other things, the following results are proved: every finitely generated group without free nonabelian subgroups either contains nontrivial convergent sequences in G# or is a finite extension of an abelian group; every group containing the free nonabelian group with two generators does not have the extension property for finite dimensional representations, therefore, it does not belong to the class D introduced by D. Poguntke ["Zwei Klassen lokalkompakter maximal fastperiodischer Gruppen, Monatsh. Math. 81 (1976) 15--40]; if G is a countable FC group, then the topology that the commutator subgroup [G,G] inherits from G# is residually finite and metrizable.
Classification : 22D35, 43A40, 22D05, 22D10, 54H11
Mots-clés : Discrete group, finitely generated group, free nonabelian group, finite conjugacy group, dually embedded group, Bohr compactification, Bohr topology 
@article{JLT_2008_18_3_JLT_2008_18_3_a15,
     author = {S. Hern�ndez },
     title = {The {Bohr} {Topology} of {Discrete} {Nonabelian} {Groups}},
     journal = {Journal of Lie theory},
     pages = {733--746},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2008},
     url = {http://geodesic.mathdoc.fr/item/JLT_2008_18_3_JLT_2008_18_3_a15/}
}
TY  - JOUR
AU  - S. Hern�ndez 
TI  - The Bohr Topology of Discrete Nonabelian Groups
JO  - Journal of Lie theory
PY  - 2008
SP  - 733
EP  - 746
VL  - 18
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JLT_2008_18_3_JLT_2008_18_3_a15/
ID  - JLT_2008_18_3_JLT_2008_18_3_a15
ER  - 
%0 Journal Article
%A S. Hern�ndez 
%T The Bohr Topology of Discrete Nonabelian Groups
%J Journal of Lie theory
%D 2008
%P 733-746
%V 18
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JLT_2008_18_3_JLT_2008_18_3_a15/
%F JLT_2008_18_3_JLT_2008_18_3_a15
S. Hern�ndez . The Bohr Topology of Discrete Nonabelian Groups. Journal of Lie theory, Tome 18 (2008) no. 3, pp. 733-746. http://geodesic.mathdoc.fr/item/JLT_2008_18_3_JLT_2008_18_3_a15/