Geodesic
Convergent Sequences in Discrete Groups
Canadian mathematical bulletin, Tome 56 (2013) no. 2, pp. 424-433

Voir la notice de l'article provenant de la source Cambridge University Press

We prove that a finitely generated group contains a sequence of non-trivial elements that converge to the identity in every compact homomorphic image if and only if the group is not virtually abelian. As a consequence of the methods used, we show that a finitely generated group satisfies Chu duality if and only if it is virtually abelian.
DOI : 10.4153/CMB-2011-155-3
Mots-clés : 54H11, Chu duality, Bohr topology 
Thom, Andreas. Convergent Sequences in Discrete Groups. Canadian mathematical bulletin, Tome 56 (2013) no. 2, pp. 424-433. doi: 10.4153/CMB-2011-155-3
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