no. 2
On the Cantor-Bendixson rank of metabelian groups
[Sur le rang de Cantor-Bendixson des groupes métabéliens]
Cornulier, Yves1
1 IRMAR Campus de Beaulieu 35042 Rennes Cedex (France)
Annales de l'Institut Fourier, Tome 61 (2011) no. 2, pp. 593-618.

On étudie le rang de Cantor-Bendixson des groupes métabéliens ou virtuellement métabéliens dans l’espace des groupes marqués, et on exhibe notamment une suite (G n ) de groupes virtuellement métabéliens de présentation finie à deux générateurs, de rang de Cantor-Bendixson égal à ω n .

We study the Cantor-Bendixson rank of metabelian and virtually metabelian groups in the space of marked groups, and in particular, we exhibit a sequence (G n ) of 2-generated, finitely presented, virtually metabelian groups of Cantor-Bendixson rank ω n .

DOI : 10.5802/aif.2623
Classification : 20E15, 13E05, 20F05, 20F16, 57M07
Keywords: Metabelian groups, space of marked groups, Cantor-Bendixson analysis, Bieri-Strebel invariant, lattice of subgroups
Mot clés : groupes métabéliens, espace des groupes marqués, analyse de Cantor-Bendixson, invariant de Bieri-Strebel, treillis des sous-groupes
Cornulier, Yves 1

1 IRMAR Campus de Beaulieu 35042 Rennes Cedex (France) 
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Cornulier, Yves. On the Cantor-Bendixson rank of metabelian groups. Annales de l'Institut Fourier, Tome 61 (2011) no. 2, pp. 593-618. doi : 10.5802/aif.2623. http://www.numdam.org/articles/10.5802/aif.2623/

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